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1375317630 = 234510211663
BaseRepresentation
bin101000111111001…
…1010111001111110
310112211220101010000
41101332122321332
510304040131010
6344245455130
746040002251
oct12176327176
93484811100
101375317630
11646370545
123247114a6
1318bc1901b
14d0929098
1580b1b7c0
hex51f9ae7e

1375317630 has 80 divisors (see below), whose sum is σ = 3703924224. Its totient is φ = 366171840.

The previous prime is 1375317611. The next prime is 1375317631. The reversal of 1375317630 is 367135731.

It is a happy number.

1375317630 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 3 + 17 + 630 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375317631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 826179 + ... + 827841.

Almost surely, 21375317630 is an apocalyptic number.

1375317630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375317630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851962112).

1375317630 is an abundant number, since it is smaller than the sum of its proper divisors (2328606594).

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

1375317630 is a wasteful number, since it uses less digits than its factorization.

1375317630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 1375317630 is about 37085.2751102105. The cubic root of 1375317630 is about 1112.0756632737.

It can be divided in two parts, 137531 and 7630, that added together give a square (145161 = 3812).

The spelling of 1375317630 in words is "one billion, three hundred seventy-five million, three hundred seventeen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1021 1663 2042 3063 3326 4989 5105 6126 8315 9189 9978 10210 14967 15315 16630 18378 24945 27567 29934 30630 44901 45945 49890 55134 74835 82701 89802 91890 134703 137835 149670 165402 224505 269406 275670 413505 449010 673515 827010 1347030 1697923 3395846 5093769 8489615 10187538 15281307 16979230 25468845 30562614 45843921 50937690 76406535 91687842 137531763 152813070 229219605 275063526 458439210 687658815 1375317630