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102530032 = 24111314447
BaseRepresentation
bin1100001110001…
…11101111110000
321010221001202121
412013013233300
5202221430112
614101324024
72353330243
oct607075760
9233831677
10102530032
115296a370
122a406614
131831b277
14d88d25a
159004407
hex61c7bf0

102530032 has 40 divisors (see below), whose sum is σ = 218414592. Its totient is φ = 46238400.

The previous prime is 102530027. The next prime is 102530059. The reversal of 102530032 is 230035201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102529988 and 102530015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20833 + ... + 25279.

Almost surely, 2102530032 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 102530032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109207296).

102530032 is an abundant number, since it is smaller than the sum of its proper divisors (115884560).

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

102530032 is a wasteful number, since it uses less digits than its factorization.

102530032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 102530032 is about 10125.7114317958. The cubic root of 102530032 is about 468.0407834525.

Adding to 102530032 its reverse (230035201), we get a palindrome (332565233).

The spelling of 102530032 in words is "one hundred two million, five hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 524 1048 1441 2096 2882 4447 5764 8894 11528 17788 23056 35576 48917 71152 97834 195668 391336 582557 782672 1165114 2330228 4660456 6408127 9320912 12816254 25632508 51265016 102530032