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102152260 = 2257314891
BaseRepresentation
bin1100001011010…
…11100001000100
321010012212120001
412011223201010
5202122333020
614045251044
72350165000
oct605534104
9233185501
10102152260
1152731561
122a263a84
1318218332
14d7d1700
158e7c50a
hex616b844

102152260 has 48 divisors (see below), whose sum is σ = 250185600. Its totient is φ = 35021280.

The previous prime is 102152251. The next prime is 102152261. The reversal of 102152260 is 62251201.

It is not an unprimeable number, because it can be changed into a prime (102152261) 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 15 ways as a sum of consecutive naturals, for example, 586 + ... + 14305.

It is an arithmetic number, because the mean of its divisors is an integer number (5212200).

Almost surely, 2102152260 is an apocalyptic number.

102152260 is a gapful number since it is divisible by the number (10) 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 102152260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125092800).

102152260 is an abundant number, since it is smaller than the sum of its proper divisors (148033340).

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

102152260 is a wasteful number, since it uses less digits than its factorization.

102152260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14921 (or 14905 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 102152260 is about 10107.0401206288. The cubic root of 102152260 is about 467.4652437772.

The spelling of 102152260 in words is "one hundred two million, one hundred fifty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6860 14891 29782 59564 74455 104237 148910 208474 297820 416948 521185 729659 1042370 1459318 2084740 2918636 3648295 5107613 7296590 10215226 14593180 20430452 25538065 51076130 102152260