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103426656 = 2532933677
BaseRepresentation
bin1100010101000…
…10101001100000
321012121121200220
412022202221200
5202434123111
614132443040
72364053304
oct612425140
9235547626
10103426656
1153421a83
122a779480
1318573408
14da43d04
15912ee06
hex62a2a60

103426656 has 48 divisors (see below), whose sum is σ = 272495664. Its totient is φ = 34348544.

The previous prime is 103426651. The next prime is 103426663. The reversal of 103426656 is 656624301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103426651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26290 + ... + 29966.

It is an arithmetic number, because the mean of its divisors is an integer number (5676993).

Almost surely, 2103426656 is an apocalyptic number.

103426656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103426656 is an abundant number, since it is smaller than the sum of its proper divisors (169069008).

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

103426656 is a wasteful number, since it uses less digits than its factorization.

103426656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 103426656 is about 10169.8896749178. The cubic root of 103426656 is about 469.4011627890.

The spelling of 103426656 in words is "one hundred three million, four hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 293 586 879 1172 1758 2344 3516 3677 4688 7032 7354 9376 11031 14064 14708 22062 28128 29416 44124 58832 88248 117664 176496 352992 1077361 2154722 3232083 4309444 6464166 8618888 12928332 17237776 25856664 34475552 51713328 103426656