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102215008 = 257716427
BaseRepresentation
bin1100001011110…
…10110101100000
321010100001122001
412011322311200
5202131340013
614050453344
72350545640
oct605726540
9233301561
10102215008
1152774715
122a294254
131823aa6c
14d80a520
158e90ddd
hex617ad60

102215008 has 48 divisors (see below), whose sum is σ = 233259264. Its totient is φ = 43182720.

The previous prime is 102214997. The next prime is 102215021. The reversal of 102215008 is 800512201.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12691 + ... + 19117.

It is an arithmetic number, because the mean of its divisors is an integer number (4859568).

Almost surely, 2102215008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102215008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116629632).

102215008 is an abundant number, since it is smaller than the sum of its proper divisors (131044256).

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

102215008 is an equidigital number, since it uses as much as digits as its factorization.

102215008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6515 (or 6507 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 102215008 is about 10110.1438169791. The cubic root of 102215008 is about 467.5609391808.

Adding to 102215008 its reverse (800512201), we get a palindrome (902727209).

The spelling of 102215008 in words is "one hundred two million, two hundred fifteen thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 994 1136 1988 2272 3976 6427 7952 12854 15904 25708 44989 51416 89978 102832 179956 205664 359912 456317 719824 912634 1439648 1825268 3194219 3650536 6388438 7301072 12776876 14602144 25553752 51107504 102215008