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245315640 = 233529157449
BaseRepresentation
bin11101001111100…
…11100000111000
3122002121022210110
432213303200320
51000300100030
640201544320
76036101643
oct1647634070
9562538713
10245315640
111165242a9
126a1a50a0
133ba924ab
142481aa5a
151680b1b0
hexe9f3838

245315640 has 128 divisors (see below), whose sum is σ = 767880000. Its totient is φ = 62619648.

The previous prime is 245315633. The next prime is 245315647. The reversal of 245315640 is 46513542.

It is an interprime number because it is at equal distance from previous prime (245315633) and next prime (245315647).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 245315598 and 245315607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245315647) 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, 546136 + ... + 546584.

Almost surely, 2245315640 is an apocalyptic number.

245315640 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 245315640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383940000).

245315640 is an abundant number, since it is smaller than the sum of its proper divisors (522564360).

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

245315640 is a wasteful number, since it uses less digits than its factorization.

245315640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 245315640 is about 15662.5553470690. Note that the first 3 decimals coincide. The cubic root of 245315640 is about 626.0010751682.

The spelling of 245315640 in words is "two hundred forty-five million, three hundred fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 157 174 232 290 314 348 435 449 471 580 628 696 785 870 898 942 1160 1256 1347 1570 1740 1796 1884 2245 2355 2694 3140 3480 3592 3768 4490 4553 4710 5388 6280 6735 8980 9106 9420 10776 13021 13470 13659 17960 18212 18840 22765 26042 26940 27318 36424 39063 45530 52084 53880 54636 65105 68295 70493 78126 91060 104168 109272 130210 136590 140986 156252 182120 195315 211479 260420 273180 281972 312504 352465 390630 422958 520840 546360 563944 704930 781260 845916 1057395 1409860 1562520 1691832 2044297 2114790 2819720 4088594 4229580 6132891 8177188 8459160 10221485 12265782 16354376 20442970 24531564 30664455 40885940 49063128 61328910 81771880 122657820 245315640