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102386016 = 2532355507
BaseRepresentation
bin1100001101001…
…00100101100000
321010122202012200
412012210211200
5202202323031
614054253200
72352160335
oct606444540
9233582180
10102386016
1152881147
122a357200
131829a855
14d85298c
158ec68e6
hex61a4960

102386016 has 36 divisors (see below), whose sum is σ = 291161052. Its totient is φ = 34128576.

The previous prime is 102385961. The next prime is 102386021. The reversal of 102386016 is 610683201.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 177466 + ... + 178041.

It is an arithmetic number, because the mean of its divisors is an integer number (8087807).

Almost surely, 2102386016 is an apocalyptic number.

102386016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102386016 is an abundant number, since it is smaller than the sum of its proper divisors (188775036).

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

102386016 is a wasteful number, since it uses less digits than its factorization.

102386016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355523 (or 355512 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102386016 is about 10118.5975312787. The cubic root of 102386016 is about 467.8215405487.

The spelling of 102386016 in words is "one hundred two million, three hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 355507 711014 1066521 1422028 2133042 2844056 3199563 4266084 5688112 6399126 8532168 11376224 12798252 17064336 25596504 34128672 51193008 102386016