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102514932 = 223213534133
BaseRepresentation
bin1100001110001…
…00000011110100
321010220022001100
412013010003310
5202220434212
614101130100
72353235232
oct607040364
9233808040
10102514932
1152959a93
122a3b9930
1318314430
14d887952
158eeebdc
hex61c40f4

102514932 has 72 divisors (see below), whose sum is σ = 284402664. Its totient is φ = 30940416.

The previous prime is 102514931. The next prime is 102514939. The reversal of 102514932 is 239415201.

It can be written as a sum of positive squares in 4 ways, for example, as 18352656 + 84162276 = 4284^2 + 9174^2 .

It is a super-2 number, since 2×1025149322 = 21018622565929248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102514896 and 102514905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102514931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22738 + ... + 26870.

It is an arithmetic number, because the mean of its divisors is an integer number (3950037).

Almost surely, 2102514932 is an apocalyptic number.

102514932 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 102514932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142201332).

102514932 is an abundant number, since it is smaller than the sum of its proper divisors (181887732).

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

102514932 is a wasteful number, since it uses less digits than its factorization.

102514932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 102514932 is about 10124.9657777199. The cubic root of 102514932 is about 468.0178055904.

The spelling of 102514932 in words is "one hundred two million, five hundred fourteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 954 1378 1908 2067 2756 4133 4134 6201 8266 8268 12399 12402 16532 24798 24804 37197 49596 53729 74394 107458 148788 161187 214916 219049 322374 438098 483561 644748 657147 876196 967122 1314294 1934244 1971441 2628588 2847637 3942882 5695274 7885764 8542911 11390548 17085822 25628733 34171644 51257466 102514932