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245141640 = 23345292609
BaseRepresentation
bin11101001110010…
…01000010001000
3122002021111010000
432213021002020
51000224013030
640154123000
76034445442
oct1647110210
9562244100
10245141640
111164155a7
126a120460
133ba31233
14247b3492
15167c4860
hexe9c9088

245141640 has 160 divisors (see below), whose sum is σ = 852687000. Its totient is φ = 63092736.

The previous prime is 245141639. The next prime is 245141641. The reversal of 245141640 is 46141542.

245141640 is a `hidden beast` number, since 2 + 4 + 5 + 14 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (245141639) and next prime (245141641).

It can be written as a sum of positive squares in 4 ways, for example, as 196616484 + 48525156 = 14022^2 + 6966^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245141641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92656 + ... + 95264.

Almost surely, 2245141640 is an apocalyptic number.

245141640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426343500).

245141640 is an abundant number, since it is smaller than the sum of its proper divisors (607545360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245141640 is a wasteful number, since it uses less digits than its factorization.

245141640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 245141640 is about 15656.9997125886. Note that the first 3 decimals coincide. The cubic root of 245141640 is about 625.8530346679.

The spelling of 245141640 in words is "two hundred forty-five million, one hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 162 174 180 216 232 261 270 290 324 348 360 405 435 522 540 580 648 696 783 810 870 1044 1080 1160 1305 1566 1620 1740 2088 2349 2609 2610 3132 3240 3480 3915 4698 5218 5220 6264 7827 7830 9396 10436 10440 11745 13045 15654 15660 18792 20872 23481 23490 26090 31308 31320 39135 46962 46980 52180 62616 70443 75661 78270 93924 93960 104360 117405 140886 151322 156540 187848 211329 226983 234810 281772 302644 313080 352215 378305 422658 453966 469620 563544 605288 680949 704430 756610 845316 907932 939240 1056645 1134915 1361898 1408860 1513220 1690632 1815864 2042847 2113290 2269830 2723796 2817720 3026440 3404745 4085694 4226580 4539660 5447592 6128541 6809490 8171388 8453160 9079320 10214235 12257082 13618980 16342776 20428470 24514164 27237960 30642705 40856940 49028328 61285410 81713880 122570820 245141640