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102514152 = 23313595569
BaseRepresentation
bin1100001110000…
…11110111101000
321010220020222110
412013003313220
5202220423102
614101122320
72353233036
oct607036750
9233806873
10102514152
1152959444
122a3b93a0
1318313c80
14d887556
158eee86c
hex61c3de8

102514152 has 64 divisors (see below), whose sum is σ = 280728000. Its totient is φ = 31002624.

The previous prime is 102514147. The next prime is 102514157. The reversal of 102514152 is 251415201.

It is an interprime number because it is at equal distance from previous prime (102514147) and next prime (102514157).

It is not an unprimeable number, because it can be changed into a prime (102514157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15624 + ... + 21192.

It is an arithmetic number, because the mean of its divisors is an integer number (4386375).

Almost surely, 2102514152 is an apocalyptic number.

102514152 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 102514152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140364000).

102514152 is an abundant number, since it is smaller than the sum of its proper divisors (178213848).

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

102514152 is a wasteful number, since it uses less digits than its factorization.

102514152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 102514152 is about 10124.9272589980. The cubic root of 102514152 is about 468.0166185932.

Adding to 102514152 its reverse (251415201), we get a palindrome (353929353).

The spelling of 102514152 in words is "one hundred two million, five hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 177 236 312 354 472 708 767 1416 1534 2301 3068 4602 5569 6136 9204 11138 16707 18408 22276 33414 44552 66828 72397 133656 144794 217191 289588 328571 434382 579176 657142 868764 985713 1314284 1737528 1971426 2628568 3942852 4271423 7885704 8542846 12814269 17085692 25628538 34171384 51257076 102514152