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102538674 = 23272116257
BaseRepresentation
bin1100001110010…
…01110110110010
321010221111121200
412013021312302
5202222214144
614101432030
72353364400
oct607116662
9233844550
10102538674
1152975907
122a40b616
1318322194
14d892470
159006c69
hex61c9db2

102538674 has 36 divisors (see below), whose sum is σ = 258441534. Its totient is φ = 29296512.

The previous prime is 102538673. The next prime is 102538691. The reversal of 102538674 is 476835201.

It can be written as a sum of positive squares in only one way, i.e., 99500625 + 3038049 = 9975^2 + 1743^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102538673) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57247 + ... + 59010.

Almost surely, 2102538674 is an apocalyptic number.

102538674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102538674 is an abundant number, since it is smaller than the sum of its proper divisors (155902860).

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

102538674 is a wasteful number, since it uses less digits than its factorization.

102538674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116279 (or 116269 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 102538674 is about 10126.1381582516. The cubic root of 102538674 is about 468.0539330787.

The spelling of 102538674 in words is "one hundred two million, five hundred thirty-eight thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 116257 232514 348771 697542 813799 1046313 1627598 2092626 2441397 4882794 5696593 7324191 11393186 14648382 17089779 34179558 51269337 102538674