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130738560 = 2735149457
BaseRepresentation
bin1111100101011…
…10100110000000
3100010000012120220
413302232212000
5231432113220
620550103040
73145154661
oct762564600
9303005526
10130738560
11678868a7
123794aa80
13211169c4
1413513368
15b727540
hex7cae980

130738560 has 128 divisors (see below), whose sum is σ = 420444000. Its totient is φ = 34553856.

The previous prime is 130738549. The next prime is 130738567. The reversal of 130738560 is 65837031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130738567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285852 + ... + 286308.

Almost surely, 2130738560 is an apocalyptic number.

130738560 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 130738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210222000).

130738560 is an abundant number, since it is smaller than the sum of its proper divisors (289705440).

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

130738560 is a wasteful number, since it uses less digits than its factorization.

130738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 130738560 is about 11434.0963788137. The cubic root of 130738560 is about 507.5372229567.

The spelling of 130738560 in words is "one hundred thirty million, seven hundred thirty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 149 160 192 240 298 320 384 447 457 480 596 640 745 894 914 960 1192 1371 1490 1788 1828 1920 2235 2285 2384 2742 2980 3576 3656 4470 4570 4768 5484 5960 6855 7152 7312 8940 9140 9536 10968 11920 13710 14304 14624 17880 18280 19072 21936 23840 27420 28608 29248 35760 36560 43872 47680 54840 57216 58496 68093 71520 73120 87744 95360 109680 136186 143040 146240 175488 204279 219360 272372 286080 292480 340465 408558 438720 544744 680930 817116 877440 1021395 1089488 1361860 1634232 2042790 2178976 2723720 3268464 4085580 4357952 5447440 6536928 8171160 8715904 10894880 13073856 16342320 21789760 26147712 32684640 43579520 65369280 130738560