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10297950760 = 2353171116969
BaseRepresentation
bin10011001011100111…
…00100001000101000
3222120200102002201201
421211303210020220
5132042233411020
64421504453544
7513123065026
oct114563441050
928520362651
1010297950760
114404a19909
121bb491a2b4
13c8164b5b6
146d9961716
15404114a0a
hex265ce4228

10297950760 has 64 divisors (see below), whose sum is σ = 24254899200. Its totient is φ = 3930124800.

The previous prime is 10297950757. The next prime is 10297950763. The reversal of 10297950760 is 6705979201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10297950757) and next prime (10297950763).

It is a self number, because there is not a number n which added to its sum of digits gives 10297950760.

It is not an unprimeable number, because it can be changed into a prime (10297950763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29556 + ... + 146524.

It is an arithmetic number, because the mean of its divisors is an integer number (378982800).

Almost surely, 210297950760 is an apocalyptic number.

10297950760 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 10297950760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12127449600).

10297950760 is an abundant number, since it is smaller than the sum of its proper divisors (13956948440).

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

10297950760 is a wasteful number, since it uses less digits than its factorization.

10297950760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117082 (or 117078 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 46.

The spelling of 10297950760 in words is "ten billion, two hundred ninety-seven million, nine hundred fifty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 71 124 142 155 248 284 310 355 568 620 710 1240 1420 2201 2840 4402 8804 11005 17608 22010 44020 88040 116969 233938 467876 584845 935752 1169690 2339380 3626039 4678760 7252078 8304799 14504156 16609598 18130195 29008312 33219196 36260390 41523995 66438392 72520780 83047990 145041560 166095980 257448769 332191960 514897538 1029795076 1287243845 2059590152 2574487690 5148975380 10297950760