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245105520 = 243511227409
BaseRepresentation
bin11101001110000…
…00001101110000
3122002012122120020
432213000031300
51000221334040
640153243440
76034235232
oct1647001560
9562178506
10245105520
111163a0450
126a103580
133ba1a96a
14247a4252
15167b8cd0
hexe9c0370

245105520 has 160 divisors (see below), whose sum is σ = 834589440. Its totient is φ = 59013120.

The previous prime is 245105513. The next prime is 245105521. The reversal of 245105520 is 25501542.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245105521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599076 + ... + 599484.

It is an arithmetic number, because the mean of its divisors is an integer number (5216184).

Almost surely, 2245105520 is an apocalyptic number.

245105520 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 245105520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417294720).

245105520 is an abundant number, since it is smaller than the sum of its proper divisors (589483920).

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

245105520 is a wasteful number, since it uses less digits than its factorization.

245105520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 245105520 is about 15655.8461923973. The cubic root of 245105520 is about 625.8222947224.

The spelling of 245105520 in words is "two hundred forty-five million, one hundred five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 227 240 264 330 409 440 454 528 660 681 818 880 908 1135 1227 1320 1362 1636 1816 2045 2270 2454 2497 2640 2724 3272 3405 3632 4090 4499 4540 4908 4994 5448 6135 6544 6810 7491 8180 8998 9080 9816 9988 10896 12270 12485 13497 13620 14982 16360 17996 18160 19632 19976 22495 24540 24970 26994 27240 29964 32720 35992 37455 39952 44990 49080 49940 53988 54480 59928 67485 71984 74910 89980 92843 98160 99880 107976 119856 134970 149820 179960 185686 199760 215952 269940 278529 299640 359920 371372 464215 539880 557058 599280 742744 928430 1021273 1079760 1114116 1392645 1485488 1856860 2042546 2228232 2785290 3063819 3713720 4085092 4456464 5106365 5570580 6127638 7427440 8170184 10212730 11141160 12255276 15319095 16340368 20425460 22282320 24510552 30638190 40850920 49021104 61276380 81701840 122552760 245105520