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102152660 = 225172313063
BaseRepresentation
bin1100001011010…
…11100111010100
321010012220002212
412011223213110
5202122341120
614045252552
72350166111
oct605534724
9233186085
10102152660
1152731895
122a264158
131821857c
14d7d1908
158e7c6c5
hex616b9d4

102152660 has 48 divisors (see below), whose sum is σ = 237033216. Its totient is φ = 36782592.

The previous prime is 102152653. The next prime is 102152681. The reversal of 102152660 is 66251201.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1289 + ... + 14351.

It is an arithmetic number, because the mean of its divisors is an integer number (4938192).

Almost surely, 2102152660 is an apocalyptic number.

102152660 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 102152660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118516608).

102152660 is an abundant number, since it is smaller than the sum of its proper divisors (134880556).

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

102152660 is a wasteful number, since it uses less digits than its factorization.

102152660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13112 (or 13110 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 102152660 is about 10107.0599087964. The cubic root of 102152660 is about 467.4658539313.

The spelling of 102152660 in words is "one hundred two million, one hundred fifty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 7820 13063 26126 52252 65315 130630 222071 261260 300449 444142 600898 888284 1110355 1201796 1502245 2220710 3004490 4441420 5107633 6008980 10215266 20430532 25538165 51076330 102152660