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102414976 = 27800117
BaseRepresentation
bin1100001101010…
…11101010000000
321010201012221021
412012223222000
5202204234401
614055035224
72352340636
oct606535200
9233635837
10102414976
11528a0984
122a36bb14
13182aaaa1
14d85d356
158ed02a1
hex61aba80

102414976 has 16 divisors (see below), whose sum is σ = 204030090. Its totient is φ = 51207424.

The previous prime is 102414947. The next prime is 102415003. The reversal of 102414976 is 679414201.

It can be written as a sum of positive squares in only one way, i.e., 102414400 + 576 = 10120^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (16).

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 as a sum of consecutive naturals, namely, 399931 + ... + 400186.

Almost surely, 2102414976 is an apocalyptic number.

102414976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102414976 is a deficient number, since it is larger than the sum of its proper divisors (101615114).

102414976 is an frugal number, since it uses more digits than its factorization.

102414976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800131 (or 800119 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 102414976 is about 10120.0284584580. The cubic root of 102414976 is about 467.8656443406.

The spelling of 102414976 in words is "one hundred two million, four hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 800117 1600234 3200468 6400936 12801872 25603744 51207488 102414976