Search a number
-
+
102535664 = 2471183227
BaseRepresentation
bin1100001110010…
…01000111110000
321010221100111012
412013021013300
5202222120124
614101410052
72353352540
oct607110760
9233840435
10102535664
1152973620
122a409928
13183209ba
14d891320
159005e0e
hex61c91f0

102535664 has 40 divisors (see below), whose sum is σ = 247686528. Its totient is φ = 39948480.

The previous prime is 102535649. The next prime is 102535669. The reversal of 102535664 is 466535201.

It is a self number, because there is not a number n which added to its sum of digits gives 102535664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102535669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40382 + ... + 42845.

Almost surely, 2102535664 is an apocalyptic number.

102535664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102535664 is an abundant number, since it is smaller than the sum of its proper divisors (145150864).

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

102535664 is a wasteful number, since it uses less digits than its factorization.

102535664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83253 (or 83247 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 102535664 is about 10125.9895318927. The cubic root of 102535664 is about 468.0493531609.

The spelling of 102535664 in words is "one hundred two million, five hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 83227 166454 332908 582589 665816 915497 1165178 1331632 1830994 2330356 3661988 4660712 6408479 7323976 9321424 12816958 14647952 25633916 51267832 102535664