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10140902280 = 23325313741599
BaseRepresentation
bin10010111000111000…
…11110001110001000
3222011201220012201100
421130130132032020
5131232032333110
64354134421400
7506205150525
oct113434361610
928151805640
1010140902280
114334302a83
121b70201860
13c57c523c2
146c2b6014c
153e5441bc0
hex25c71e388

10140902280 has 384 divisors, whose sum is σ = 35852544000. Its totient is φ = 2480025600.

The previous prime is 10140902279. The next prime is 10140902293. The reversal of 10140902280 is 8220904101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16929421 + ... + 16930019.

It is an arithmetic number, because the mean of its divisors is an integer number (93366000).

Almost surely, 210140902280 is an apocalyptic number.

10140902280 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 10140902280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272000).

10140902280 is an abundant number, since it is smaller than the sum of its proper divisors (25711641720).

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

10140902280 is a wasteful number, since it uses less digits than its factorization.

10140902280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10140902280 in words is "ten billion, one hundred forty million, nine hundred two thousand, two hundred eighty".