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102166632 = 23328831607
BaseRepresentation
bin1100001011011…
…11000001101000
321010020121021100
412011233001220
5202123313012
614045441400
72350254621
oct605570150
9233217240
10102166632
1152741337
122a270260
1318221a39
14d7d6a48
158e818dc
hex616f068

102166632 has 48 divisors (see below), whose sum is σ = 277187040. Its totient is φ = 33995808.

The previous prime is 102166619. The next prime is 102166663. The reversal of 102166632 is 236661201.

It is a junction number, because it is equal to n+sod(n) for n = 102166596 and 102166605.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62773 + ... + 64379.

It is an arithmetic number, because the mean of its divisors is an integer number (5774730).

Almost surely, 2102166632 is an apocalyptic number.

102166632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102166632 is an abundant number, since it is smaller than the sum of its proper divisors (175020408).

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

102166632 is a wasteful number, since it uses less digits than its factorization.

102166632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 102166632 is about 10107.7510851821. The cubic root of 102166632 is about 467.4871656137.

The spelling of 102166632 in words is "one hundred two million, one hundred sixty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 883 1607 1766 2649 3214 3532 4821 5298 6428 7064 7947 9642 10596 12856 14463 15894 19284 21192 28926 31788 38568 57852 63576 115704 1418981 2837962 4256943 5675924 8513886 11351848 12770829 17027772 25541658 34055544 51083316 102166632