Search a number
-
+
102516204 = 22375323027
BaseRepresentation
bin1100001110001…
…00010111101100
321010220100210110
412013010113230
5202221004304
614101140020
72353242030
oct607042754
9233810713
10102516204
115295aa3a
122a3ba610
1318314b9b
14d8881c0
159000289
hex61c45ec

102516204 has 48 divisors (see below), whose sum is σ = 278546688. Its totient is φ = 28736448.

The previous prime is 102516187. The next prime is 102516223. The reversal of 102516204 is 402615201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7062 + ... + 15965.

It is an arithmetic number, because the mean of its divisors is an integer number (5803056).

Almost surely, 2102516204 is an apocalyptic number.

102516204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102516204 is an abundant number, since it is smaller than the sum of its proper divisors (176030484).

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

102516204 is a wasteful number, since it uses less digits than its factorization.

102516204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23094 (or 23092 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 102516204 is about 10125.0285925522. The cubic root of 102516204 is about 468.0197412960.

The spelling of 102516204 in words is "one hundred two million, five hundred sixteen thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4452 23027 46054 69081 92108 138162 161189 276324 322378 483567 644756 967134 1220431 1934268 2440862 3661293 4881724 7322586 8543017 14645172 17086034 25629051 34172068 51258102 102516204