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102661296 = 2434349739
BaseRepresentation
bin1100001111001…
…11110010110000
321011011201211020
412013213302300
5202240130141
614104215440
72354415033
oct607476260
9234151736
10102661296
1152a49a51
122a46a580
1318365c3a
14d8c501a
15902d266
hex61e7cb0

102661296 has 40 divisors (see below), whose sum is σ = 271381440. Its totient is φ = 33423936.

The previous prime is 102661241. The next prime is 102661297. The reversal of 102661296 is 692166201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102661297) 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, 22806 + ... + 26933.

It is an arithmetic number, because the mean of its divisors is an integer number (6784536).

Almost surely, 2102661296 is an apocalyptic number.

102661296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102661296 is an abundant number, since it is smaller than the sum of its proper divisors (168720144).

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

102661296 is a wasteful number, since it uses less digits than its factorization.

102661296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49793 (or 49787 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 102661296 is about 10132.1910759717. The cubic root of 102661296 is about 468.2404345682.

The spelling of 102661296 in words is "one hundred two million, six hundred sixty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 49739 99478 149217 198956 298434 397912 596868 795824 1193736 2138777 2387472 4277554 6416331 8555108 12832662 17110216 25665324 34220432 51330648 102661296