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102114496 = 2611314679
BaseRepresentation
bin1100001011000…
…10010011000000
321010010221202101
412011202103000
5202120130441
614044400144
72346646621
oct605422300
9233127671
10102114496
1152706150
122a246054
13182040a3
14d7c1a48
158e71231
hex61624c0

102114496 has 56 divisors (see below), whose sum is σ = 228234240. Its totient is φ = 44908800.

The previous prime is 102114491. The next prime is 102114511. The reversal of 102114496 is 694411201.

It is not an unprimeable number, because it can be changed into a prime (102114491) 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, 19485 + ... + 24163.

Almost surely, 2102114496 is an apocalyptic number.

102114496 is a gapful number since it is divisible by the number (16) 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 102114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114117120).

102114496 is an abundant number, since it is smaller than the sum of its proper divisors (126119744).

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

102114496 is a wasteful number, since it uses less digits than its factorization.

102114496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 102114496 is about 10105.1717452006. The cubic root of 102114496 is about 467.4076319557.

Adding to 102114496 its reverse (694411201), we get a palindrome (796525697).

The spelling of 102114496 in words is "one hundred two million, one hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 992 1364 1984 2728 4679 5456 9358 10912 18716 21824 37432 51469 74864 102938 145049 149728 205876 290098 299456 411752 580196 823504 1160392 1595539 1647008 2320784 3191078 3294016 4641568 6382156 9283136 12764312 25528624 51057248 102114496