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1375025640 = 2335531491451
BaseRepresentation
bin101000111110101…
…0011100111101000
310112211100112120120
41101331103213220
510304001310030
6344235323240
746034345052
oct12175234750
93484315516
101375025640
1164619112a
123245b0520
1318bb46151
14d08908d2
1580ab0010
hex51f539e8

1375025640 has 128 divisors (see below), whose sum is σ = 4234032000. Its totient is φ = 357094400.

The previous prime is 1375025623. The next prime is 1375025653. The reversal of 1375025640 is 465205731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 946915 + ... + 948365.

It is an arithmetic number, because the mean of its divisors is an integer number (33078375).

Almost surely, 21375025640 is an apocalyptic number.

1375025640 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 1375025640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117016000).

1375025640 is an abundant number, since it is smaller than the sum of its proper divisors (2859006360).

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

1375025640 is a wasteful number, since it uses less digits than its factorization.

1375025640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 1375025640 is about 37081.3381635561. The cubic root of 1375025640 is about 1111.9969571022.

The spelling of 1375025640 in words is "one billion, three hundred seventy-five million, twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 149 159 212 265 298 318 424 447 530 596 636 745 795 894 1060 1192 1272 1451 1490 1590 1788 2120 2235 2902 2980 3180 3576 4353 4470 5804 5960 6360 7255 7897 8706 8940 11608 14510 15794 17412 17880 21765 23691 29020 31588 34824 39485 43530 47382 58040 63176 76903 78970 87060 94764 118455 153806 157940 174120 189528 216199 230709 236910 307612 315880 384515 432398 461418 473820 615224 648597 769030 864796 922836 947640 1080995 1153545 1297194 1538060 1729592 1845672 2161990 2307090 2594388 3076120 3242985 4323980 4614180 5188776 6485970 8647960 9228360 11458547 12971940 22917094 25943880 34375641 45834188 57292735 68751282 91668376 114585470 137502564 171878205 229170940 275005128 343756410 458341880 687512820 1375025640