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130745232 = 24331719937
BaseRepresentation
bin1111100101100…
…00001110010000
3100010000112202000
413302300032100
5231432321412
620550154000
73145213302
oct762601620
9303015660
10130745232
1167890912
1237952900
1321119a57
1413515972
15b7294dc
hex7cb0390

130745232 has 160 divisors (see below), whose sum is σ = 418723200. Its totient is φ = 38817792.

The previous prime is 130745221. The next prime is 130745243. The reversal of 130745232 is 232547031.

130745232 is a `hidden beast` number, since 130 + 7 + 4 + 523 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (130745221) and next prime (130745243).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130745196 and 130745205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139068 + ... + 140004.

It is an arithmetic number, because the mean of its divisors is an integer number (2617020).

Almost surely, 2130745232 is an apocalyptic number.

130745232 is a gapful number since it is divisible by the number (12) 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 130745232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209361600).

130745232 is an abundant number, since it is smaller than the sum of its proper divisors (287977968).

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

130745232 is a wasteful number, since it uses less digits than its factorization.

130745232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 130745232 is about 11434.3881340455. The cubic root of 130745232 is about 507.5458565502.

The spelling of 130745232 in words is "one hundred thirty million, seven hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 27 34 36 38 48 51 54 57 68 72 76 102 108 114 136 144 152 153 171 204 216 228 272 304 306 323 342 408 432 456 459 513 612 646 684 816 912 918 937 969 1026 1224 1292 1368 1836 1874 1938 2052 2448 2584 2736 2811 2907 3672 3748 3876 4104 5168 5622 5814 7344 7496 7752 8208 8433 8721 11244 11628 14992 15504 15929 16866 17442 17803 22488 23256 25299 31858 33732 34884 35606 44976 46512 47787 50598 53409 63716 67464 69768 71212 95574 101196 106818 127432 134928 139536 142424 143361 160227 191148 202392 213636 254864 284848 286722 302651 320454 382296 404784 427272 430083 480681 573444 605302 640908 764592 854544 860166 907953 961362 1146888 1210604 1281816 1720332 1815906 1922724 2293776 2421208 2563632 2723859 3440664 3631812 3845448 4842416 5447718 6881328 7263624 7690896 8171577 10895436 14527248 16343154 21790872 32686308 43581744 65372616 130745232