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102726640 = 2451284083
BaseRepresentation
bin1100001111101…
…11101111110000
321011022001110101
412013313233300
5202244223030
614105442144
72355106402
oct607675760
9234261411
10102726640
1152a94055
122a4a0354
13183898c3
14d900b72
1590427ca
hex61f7bf0

102726640 has 20 divisors (see below), whose sum is σ = 238839624. Its totient is φ = 41090624.

The previous prime is 102726619. The next prime is 102726641. The reversal of 102726640 is 46627201.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 102726599 and 102726608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102726641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 641962 + ... + 642121.

Almost surely, 2102726640 is an apocalyptic number.

102726640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102726640 is an abundant number, since it is smaller than the sum of its proper divisors (136112984).

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

102726640 is a wasteful number, since it uses less digits than its factorization.

102726640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284096 (or 1284090 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 102726640 is about 10135.4151370331. The cubic root of 102726640 is about 468.3397586394.

The spelling of 102726640 in words is "one hundred two million, seven hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1284083 2568166 5136332 6420415 10272664 12840830 20545328 25681660 51363320 102726640