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10212657240 = 2335671270231
BaseRepresentation
bin10011000001011100…
…01100100001011000
3222100201220202000110
421200232030201120
5131403420012430
64405220404320
7511036103622
oct114056144130
928321822013
1010212657240
1143708625a5
121b902466a0
13c69a86966
146cc4bbc12
153eb8b77b0
hex260b8c858

10212657240 has 64 divisors (see below), whose sum is σ = 31095279360. Its totient is φ = 2682725760.

The previous prime is 10212657223. The next prime is 10212657269. The reversal of 10212657240 is 4275621201.

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 = 10212657198 and 10212657207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627076 + ... + 643155.

It is an arithmetic number, because the mean of its divisors is an integer number (485863740).

Almost surely, 210212657240 is an apocalyptic number.

10212657240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212657240 is an abundant number, since it is smaller than the sum of its proper divisors (20882622120).

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

10212657240 is a wasteful number, since it uses less digits than its factorization.

10212657240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270312 (or 1270308 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 10212657240 in words is "ten billion, two hundred twelve million, six hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 1270231 2540462 3810693 5080924 6351155 7621386 10161848 12702310 15242772 19053465 25404620 30485544 38106930 50809240 76213860 85105477 152427720 170210954 255316431 340421908 425527385 510632862 680843816 851054770 1021265724 1276582155 1702109540 2042531448 2553164310 3404219080 5106328620 10212657240