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102631232 = 2611229457
BaseRepresentation
bin1100001111000…
…00011101000000
321011010012120202
412013200131000
5202233144412
614103424332
72354231264
oct607403500
9234105522
10102631232
1152a29400
122a4550a8
1318355352
14d8b80a4
1590243c2
hex61e0740

102631232 has 84 divisors (see below), whose sum is σ = 232082340. Its totient is φ = 44943360.

The previous prime is 102631231. The next prime is 102631271. The reversal of 102631232 is 232136201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72863296 + 29767936 = 8536^2 + 5456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102631231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224348 + ... + 224804.

It is an arithmetic number, because the mean of its divisors is an integer number (2762885).

Almost surely, 2102631232 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 102631232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116041170).

102631232 is an abundant number, since it is smaller than the sum of its proper divisors (129451108).

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

102631232 is a wasteful number, since it uses less digits than its factorization.

102631232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 102631232 is about 10130.7073790531. The cubic root of 102631232 is about 468.1947225834.

Adding to 102631232 its reverse (232136201), we get a palindrome (334767433).

The spelling of 102631232 in words is "one hundred two million, six hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 121 176 232 242 319 352 457 464 484 638 704 914 928 968 1276 1828 1856 1936 2552 3509 3656 3872 5027 5104 7018 7312 7744 10054 10208 13253 14036 14624 20108 20416 26506 28072 29248 40216 53012 55297 56144 80432 106024 110594 112288 145783 160864 212048 221188 224576 291566 321728 424096 442376 583132 848192 884752 1166264 1603613 1769504 2332528 3207226 3539008 4665056 6414452 9330112 12828904 25657808 51315616 102631232