Search a number
-
+
102539712 = 26311471033
BaseRepresentation
bin1100001110010…
…10000111000000
321010221120001010
412013022013000
5202222232322
614101440520
72353400412
oct607120700
9233846033
10102539712
1152976670
122a410140
13183227b2
14d8929b2
15900720c
hex61ca1c0

102539712 has 112 divisors (see below), whose sum is σ = 302556672. Its totient is φ = 30382080.

The previous prime is 102539711. The next prime is 102539743. The reversal of 102539712 is 217935201.

It is a self number, because there is not a number n which added to its sum of digits gives 102539712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102539711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98748 + ... + 99780.

Almost surely, 2102539712 is an apocalyptic number.

102539712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102539712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151278336).

102539712 is an abundant number, since it is smaller than the sum of its proper divisors (200016960).

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

102539712 is a wasteful number, since it uses less digits than its factorization.

102539712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 102539712 is about 10126.1894116198. The cubic root of 102539712 is about 468.0555124449.

The spelling of 102539712 in words is "one hundred two million, five hundred thirty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 132 141 176 188 192 264 282 352 376 517 528 564 704 752 1033 1034 1056 1128 1504 1551 2066 2068 2112 2256 3008 3099 3102 4132 4136 4512 6198 6204 8264 8272 9024 11363 12396 12408 16528 16544 22726 24792 24816 33056 33088 34089 45452 48551 49584 49632 66112 68178 90904 97102 99168 99264 136356 145653 181808 194204 198336 272712 291306 363616 388408 534061 545424 582612 727232 776816 1068122 1090848 1165224 1553632 1602183 2136244 2181696 2330448 3107264 3204366 4272488 4660896 6408732 8544976 9321792 12817464 17089952 25634928 34179904 51269856 102539712