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102426360 = 233517233759
BaseRepresentation
bin1100001101011…
…10011011111000
321010201210112220
412012232123320
5202210120420
614055204040
72352416061
oct606563370
9233653486
10102426360
11528a9493
122a376620
13182b301a
14d863568
158ed3840
hex61ae6f8

102426360 has 256 divisors, whose sum is σ = 354585600. Its totient is φ = 23519232.

The previous prime is 102426341. The next prime is 102426391. The reversal of 102426360 is 63624201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102426360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1736011 + ... + 1736069.

It is an arithmetic number, because the mean of its divisors is an integer number (1385100).

Almost surely, 2102426360 is an apocalyptic number.

102426360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102426360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177292800).

102426360 is an abundant number, since it is smaller than the sum of its proper divisors (252159240).

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

102426360 is a wasteful number, since it uses less digits than its factorization.

102426360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 102426360 is about 10120.5908918403. The cubic root of 102426360 is about 467.8829789967.

The spelling of 102426360 in words is "one hundred two million, four hundred twenty-six thousand, three hundred sixty".