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102593360 = 2451282417
BaseRepresentation
bin1100001110101…
…11001101010000
321011001021122002
412013113031100
5202230441420
614102533132
72354013002
oct607271520
9234037562
10102593360
1152a02a01
122a4371a8
131834103c
14d8a8372
159018075
hex61d7350

102593360 has 20 divisors (see below), whose sum is σ = 238529748. Its totient is φ = 41037312.

The previous prime is 102593299. The next prime is 102593371. The reversal of 102593360 is 63395201.

It can be written as a sum of positive squares in 2 ways, for example, as 46403344 + 56190016 = 6812^2 + 7496^2 .

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

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 3 ways as a sum of consecutive naturals, for example, 641129 + ... + 641288.

Almost surely, 2102593360 is an apocalyptic number.

102593360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102593360 is an abundant number, since it is smaller than the sum of its proper divisors (135936388).

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

102593360 is a wasteful number, since it uses less digits than its factorization.

102593360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282430 (or 1282424 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 102593360 is about 10128.8380379982. The cubic root of 102593360 is about 468.1371259121.

The spelling of 102593360 in words is "one hundred two million, five hundred ninety-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1282417 2564834 5129668 6412085 10259336 12824170 20518672 25648340 51296680 102593360