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10140427720 = 235614155913
BaseRepresentation
bin10010111000110101…
…01010010111001000
3222011201000002202001
421130122222113020
5131231422141340
64354120320344
7506201133133
oct113432522710
928151002661
1010140427720
114334009485
121b700130b4
13c57b173b7
146c2a7921a
153e539b29a
hex25c6aa5c8

10140427720 has 32 divisors (see below), whose sum is σ = 23190000120. Its totient is φ = 3989675520.

The previous prime is 10140427711. The next prime is 10140427729. The reversal of 10140427720 is 2772404101.

It is an interprime number because it is at equal distance from previous prime (10140427711) and next prime (10140427729).

It can be written as a sum of positive squares in 4 ways, for example, as 2788051204 + 7352376516 = 52802^2 + 85746^2 .

It is not an unprimeable number, because it can be changed into a prime (10140427729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2075517 + ... + 2080396.

Almost surely, 210140427720 is an apocalyptic number.

10140427720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140427720 is an abundant number, since it is smaller than the sum of its proper divisors (13049572400).

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

10140427720 is a wasteful number, since it uses less digits than its factorization.

10140427720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4155985 (or 4155981 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The spelling of 10140427720 in words is "ten billion, one hundred forty million, four hundred twenty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 4155913 8311826 16623652 20779565 33247304 41559130 83118260 166236520 253510693 507021386 1014042772 1267553465 2028085544 2535106930 5070213860 10140427720