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102943932 = 223713313041
BaseRepresentation
bin1100010001011…
…00110010111100
321011201002112020
412020230302330
5202323201212
614114240140
72360003040
oct610546274
9234632466
10102943932
1153122333
122a586050
1318434790
14d95a020
159086d8c
hex622ccbc

102943932 has 96 divisors (see below), whose sum is σ = 305270784. Its totient is φ = 26265600.

The previous prime is 102943909. The next prime is 102943933. The reversal of 102943932 is 239349201.

It is a junction number, because it is equal to n+sod(n) for n = 102943893 and 102943902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102943933) 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, 32332 + ... + 35372.

It is an arithmetic number, because the mean of its divisors is an integer number (3179904).

Almost surely, 2102943932 is an apocalyptic number.

102943932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102943932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152635392).

102943932 is an abundant number, since it is smaller than the sum of its proper divisors (202326852).

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

102943932 is a wasteful number, since it uses less digits than its factorization.

102943932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 102943932 is about 10146.1289169811. The cubic root of 102943932 is about 468.6697438421.

The spelling of 102943932 in words is "one hundred two million, nine hundred forty-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 403 434 546 651 806 868 1092 1209 1302 1612 2418 2604 2821 3041 4836 5642 6082 8463 9123 11284 12164 16926 18246 21287 33852 36492 39533 42574 63861 79066 85148 94271 118599 127722 158132 188542 237198 255444 276731 282813 377084 474396 553462 565626 659897 830193 1106924 1131252 1225523 1319794 1660386 1979691 2451046 2639588 3320772 3676569 3959382 4902092 7353138 7918764 8578661 14706276 17157322 25735983 34314644 51471966 102943932