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102356082 = 23317432593
BaseRepresentation
bin1100001100111…
…01010001110010
321010121020011000
412012131101302
5202200343312
614053502430
72352004143
oct606352162
9233536130
10102356082
1152860704
122a341a16
131828a03a
14d845aca
158ebcadc
hex619d472

102356082 has 64 divisors (see below), whose sum is σ = 246533760. Its totient is φ = 31352832.

The previous prime is 102356081. The next prime is 102356087. The reversal of 102356082 is 280653201.

102356082 is a `hidden beast` number, since 1 + 0 + 23 + 560 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102356081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38178 + ... + 40770.

It is an arithmetic number, because the mean of its divisors is an integer number (3852090).

Almost surely, 2102356082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102356082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123266880).

102356082 is an abundant number, since it is smaller than the sum of its proper divisors (144177678).

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

102356082 is a wasteful number, since it uses less digits than its factorization.

102356082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 102356082 is about 10117.1182655932. The cubic root of 102356082 is about 467.7759446900.

The spelling of 102356082 in words is "one hundred two million, three hundred fifty-six thousand, eighty-two".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 86 102 129 153 258 306 387 459 731 774 918 1161 1462 2193 2322 2593 4386 5186 6579 7779 13158 15558 19737 23337 39474 44081 46674 70011 88162 111499 132243 140022 222998 264486 334497 396729 668994 793458 1003491 1190187 1895483 2006982 2380374 3010473 3790966 5686449 6020946 11372898 17059347 34118694 51178041 102356082