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6240000832 = 261323326087
BaseRepresentation
bin1011100111110111…
…01101101101000000
3121002212122212220221
411303323231231000
5100234420011312
62511104512424
7310430063152
oct56373555500
917085585827
106240000832
112712354a8a
12126191b714
13785a1a0b0
14432a44ad2
15267c44207
hex173eedb40

6240000832 has 56 divisors (see below), whose sum is σ = 13914827136. Its totient is φ = 2754774528.

The previous prime is 6240000829. The next prime is 6240000853. The reversal of 6240000832 is 2380000426.

It is a happy number.

It is a super-2 number, since 2×62400008322 = 77875220766721384448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6240000797 and 6240000806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143908 + ... + 182179.

It is an arithmetic number, because the mean of its divisors is an integer number (248479056).

Almost surely, 26240000832 is an apocalyptic number.

It is an amenable number.

6240000832 is an abundant number, since it is smaller than the sum of its proper divisors (7674826304).

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

6240000832 is a wasteful number, since it uses less digits than its factorization.

6240000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326135 (or 326125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 6240000832 is about 78993.6758987705. The cubic root of 6240000832 is about 1841.0328983269.

The spelling of 6240000832 in words is "six billion, two hundred forty million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 368 416 598 736 832 1196 1472 2392 4784 9568 19136 326087 652174 1304348 2608696 4239131 5217392 7500001 8478262 10434784 15000002 16956524 20869568 30000004 33913048 60000008 67826096 97500013 120000016 135652192 195000026 240000032 271304384 390000052 480000064 780000104 1560000208 3120000416 6240000832