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102932046 = 2347212967
BaseRepresentation
bin1100010001010…
…01111001001110
321011200111020000
412020221321032
5202322311141
614114105130
72356623300
oct610517116
9234614200
10102932046
1153114408
122a57b1a6
131842c249
14d955970
1590835b6
hex6229e4e

102932046 has 60 divisors (see below), whose sum is σ = 268320888. Its totient is φ = 29406888.

The previous prime is 102932041. The next prime is 102932047. The reversal of 102932046 is 640239201.

It is a super-2 number, since 2×1029320462 = 21190012187492232, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102932041) 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 29 ways as a sum of consecutive naturals, for example, 1455 + ... + 14421.

Almost surely, 2102932046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102932046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134160444).

102932046 is an abundant number, since it is smaller than the sum of its proper divisors (165388842).

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

102932046 is a wasteful number, since it uses less digits than its factorization.

102932046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12995 (or 12979 counting only the distinct ones).

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

The square root of 102932046 is about 10145.5431594371. The cubic root of 102932046 is about 468.6517054696.

The spelling of 102932046 in words is "one hundred two million, nine hundred thirty-two thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 12967 25934 38901 77802 90769 116703 181538 233406 272307 350109 544614 635383 700218 816921 1050327 1270766 1633842 1906149 2100654 2450763 3812298 4901526 5718447 7352289 11436894 14704578 17155341 34310682 51466023 102932046