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102644514 = 23272294013
BaseRepresentation
bin1100001111000…
…11101100100010
321011010212210200
412013203230202
5202234111024
614104010030
72354315100
oct607435442
9234125720
10102644514
1152a38385
122a460916
131835b3cb
14d8bcc70
1590282c9
hex61e3b22

102644514 has 72 divisors (see below), whose sum is σ = 267693660. Its totient is φ = 28308672.

The previous prime is 102644491. The next prime is 102644519. The reversal of 102644514 is 415446201.

102644514 is a `hidden beast` number, since 1 + 0 + 2 + 644 + 5 + 14 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98664489 + 3980025 = 9933^2 + 1995^2 .

It is not an unprimeable number, because it can be changed into a prime (102644519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23572 + ... + 27584.

Almost surely, 2102644514 is an apocalyptic number.

102644514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102644514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133846830).

102644514 is an abundant number, since it is smaller than the sum of its proper divisors (165049146).

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

102644514 is a wasteful number, since it uses less digits than its factorization.

102644514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 102644514 is about 10131.3628895623. The cubic root of 102644514 is about 468.2149188204.

The spelling of 102644514 in words is "one hundred two million, six hundred forty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 261 294 406 441 522 609 882 1218 1421 1827 2842 3654 4013 4263 8026 8526 12039 12789 24078 25578 28091 36117 56182 72234 84273 116377 168546 196637 232754 252819 349131 393274 505638 589911 698262 814639 1047393 1179822 1629278 1769733 2094786 2443917 3539466 4887834 5702473 7331751 11404946 14663502 17107419 34214838 51322257 102644514