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102142664 = 23131757773
BaseRepresentation
bin1100001011010…
…01001011001000
321010012101101122
412011221023020
5202122031124
614045134412
72350125011
oct605511310
9233171348
10102142664
1152725328
122a25a408
1318213b60
14d7cc008
158e7975e
hex61692c8

102142664 has 32 divisors (see below), whose sum is σ = 218385720. Its totient is φ = 44368896.

The previous prime is 102142661. The next prime is 102142687. The reversal of 102142664 is 466241201.

It can be written as a sum of positive squares in 4 ways, for example, as 53728900 + 48413764 = 7330^2 + 6958^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (102142661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27119 + ... + 30654.

Almost surely, 2102142664 is an apocalyptic number.

It is an amenable number.

102142664 is an abundant number, since it is smaller than the sum of its proper divisors (116243056).

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

102142664 is a wasteful number, since it uses less digits than its factorization.

102142664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57809 (or 57805 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 102142664 is about 10106.5653908734. The cubic root of 102142664 is about 467.4506057034.

Adding to 102142664 its reverse (466241201), we get a palindrome (568383865).

The spelling of 102142664 in words is "one hundred two million, one hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 57773 115546 231092 462184 751049 982141 1502098 1964282 3004196 3928564 6008392 7857128 12767833 25535666 51071332 102142664