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102422880 = 2534571129
BaseRepresentation
bin1100001101011…
…01100101100000
321010201121210000
412012231211200
5202210013010
614055140000
72352402660
oct606554540
9233647700
10102422880
11528a690a
122a374600
13182b1571
14d8621a0
158ed27c0
hex61ad960

102422880 has 240 divisors, whose sum is σ = 413471520. Its totient is φ = 23390208.

The previous prime is 102422821. The next prime is 102422899. The reversal of 102422880 is 88224201.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90156 + ... + 91284.

It is an arithmetic number, because the mean of its divisors is an integer number (1722798).

Almost surely, 2102422880 is an apocalyptic number.

102422880 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 102422880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206735760).

102422880 is an abundant number, since it is smaller than the sum of its proper divisors (311048640).

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

102422880 is a wasteful number, since it uses less digits than its factorization.

102422880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 102422880 is about 10120.4189636596. The cubic root of 102422880 is about 467.8776800639.

The spelling of 102422880 in words is "one hundred two million, four hundred twenty-two thousand, eight hundred eighty".