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101685696 = 263775659
BaseRepresentation
bin1100000111110…
…01100111000000
321002100011112220
412003321213000
5202012420241
614031251040
72343212520
oct603714700
9232304486
10101685696
1152442a72
122a079a80
13180b3b68
14d70d680
158dd9166
hex60f99c0

101685696 has 56 divisors (see below), whose sum is σ = 307482240. Its totient is φ = 29052672.

The previous prime is 101685679. The next prime is 101685697. The reversal of 101685696 is 696586101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101685697) 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, 36486 + ... + 39173.

Almost surely, 2101685696 is an apocalyptic number.

101685696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101685696 is an abundant number, since it is smaller than the sum of its proper divisors (205796544).

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

101685696 is an equidigital number, since it uses as much as digits as its factorization.

101685696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75681 (or 75671 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 101685696 is about 10083.9325662164. The cubic root of 101685696 is about 466.7524667637.

It can be divided in two parts, 101 and 685696, that multiplied together give a palindrome (69255296).

The spelling of 101685696 in words is "one hundred one million, six hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 75659 151318 226977 302636 453954 529613 605272 907908 1059226 1210544 1588839 1815816 2118452 2421088 3177678 3631632 4236904 4842176 6355356 7263264 8473808 12710712 14526528 16947616 25421424 33895232 50842848 101685696