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102530556 = 22331317247
BaseRepresentation
bin1100001110001…
…11110111111100
321010221002111000
412013013313330
5202221434211
614101330300
72353331622
oct607076774
9233832430
10102530556
115296a7a7
122a406990
131831b58b
14d88d512
159004656
hex61c7dfc

102530556 has 48 divisors (see below), whose sum is σ = 267886080. Its totient is φ = 33911280.

The previous prime is 102530551. The next prime is 102530563. The reversal of 102530556 is 655035201.

102530556 is a `hidden beast` number, since 102 + 5 + 3 + 0 + 556 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102530551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10525 + ... + 17771.

It is an arithmetic number, because the mean of its divisors is an integer number (5580960).

Almost surely, 2102530556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102530556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133943040).

102530556 is an abundant number, since it is smaller than the sum of its proper divisors (165355524).

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

102530556 is a wasteful number, since it uses less digits than its factorization.

102530556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7391 (or 7383 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 102530556 is about 10125.7373064879. The cubic root of 102530556 is about 468.0415807894.

Adding to 102530556 its reverse (655035201), we get a palindrome (757565757).

The spelling of 102530556 in words is "one hundred two million, five hundred thirty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3537 4716 7074 7247 14148 14494 21741 28988 43482 65223 86964 130446 195669 260892 391338 782676 949357 1898714 2848071 3797428 5696142 8544213 11392284 17088426 25632639 34176852 51265278 102530556