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6860125440 = 28335724051
BaseRepresentation
bin1100110001110010…
…10011010100000000
3122201002112110222000
412120321103110000
5103022143003230
63052420144000
7332000050500
oct63071232400
918632473860
106860125440
112a003a8863
1213b5538000
13854340a2c
14491149a00
152a23d9b60
hex198e53500

6860125440 has 432 divisors, whose sum is σ = 28325424960. Its totient is φ = 1567641600.

The previous prime is 6860125423. The next prime is 6860125451. The reversal of 6860125440 is 445210686.

6860125440 is a `hidden beast` number, since 6 + 8 + 601 + 2 + 5 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×68601254402 = 94122642105070387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6860125395 and 6860125404.

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 47 ways as a sum of consecutive naturals, for example, 1691415 + ... + 1695465.

Almost surely, 26860125440 is an apocalyptic number.

6860125440 is a gapful number since it is divisible by the number (60) 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 6860125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14162712480).

6860125440 is an abundant number, since it is smaller than the sum of its proper divisors (21465299520).

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

6860125440 is a wasteful number, since it uses less digits than its factorization.

6860125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6860125440 is about 82825.8742181451. The cubic root of 6860125440 is about 1900.1039130610.

The spelling of 6860125440 in words is "six billion, eight hundred sixty million, one hundred twenty-five thousand, four hundred forty".