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102642336 = 2533118799
BaseRepresentation
bin1100001111000…
…11001010100000
321011010202211000
412013203022200
5202234023321
614103552000
72354305536
oct607431240
9234122730
10102642336
1152a36785
122a45b600
131835a414
14d8bc156
159027826
hex61e32a0

102642336 has 48 divisors (see below), whose sum is σ = 299376000. Its totient is φ = 34213824.

The previous prime is 102642317. The next prime is 102642347. The reversal of 102642336 is 633246201.

102642336 is a `hidden beast` number, since 10 + 2 + 642 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 58536 + ... + 60263.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2102642336 is an apocalyptic number.

102642336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102642336 is an abundant number, since it is smaller than the sum of its proper divisors (196733664).

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

102642336 is a wasteful number, since it uses less digits than its factorization.

102642336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118818 (or 118804 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 102642336 is about 10131.2554009856. The cubic root of 102642336 is about 468.2116071341.

Adding to 102642336 its reverse (633246201), we get a palindrome (735888537).

The spelling of 102642336 in words is "one hundred two million, six hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 118799 237598 356397 475196 712794 950392 1069191 1425588 1900784 2138382 2851176 3207573 3801568 4276764 5702352 6415146 8553528 11404704 12830292 17107056 25660584 34214112 51321168 102642336