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10140028800 = 2735211131733
BaseRepresentation
bin10010111000110010…
…01000111110000000
3222011200020211112020
421130121020332000
5131231321410200
64354104001440
7506164552116
oct113431107600
928150224466
1010140028800
1143338667a0
121b6ba60280
13c57a07955
146c29b3ab6
153e531cea0
hex25c648f80

10140028800 has 384 divisors, whose sum is σ = 36763182720. Its totient is φ = 2436096000.

The previous prime is 10140028799. The next prime is 10140028807. The reversal of 10140028800 is 882004101.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140028807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13833234 + ... + 13833966.

It is an arithmetic number, because the mean of its divisors is an integer number (95737455).

Almost surely, 210140028800 is an apocalyptic number.

10140028800 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 10140028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18381591360).

10140028800 is an abundant number, since it is smaller than the sum of its proper divisors (26623153920).

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

10140028800 is a wasteful number, since it uses less digits than its factorization.

10140028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 10140028800 in words is "ten billion, one hundred forty million, twenty-eight thousand, eight hundred".