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130955328 = 2632732479
BaseRepresentation
bin1111100111000…
…11100001000000
3100010102012221100
413303203201000
5232011032303
620554454400
73150046650
oct763434100
9303365840
10130955328
1167a14749
1237a34400
132119157a
141356c360
15b76b8a3
hex7ce3840

130955328 has 84 divisors (see below), whose sum is σ = 428995840. Its totient is φ = 37414656.

The previous prime is 130955323. The next prime is 130955347. The reversal of 130955328 is 823559031.

130955328 is a `hidden beast` number, since 1 + 30 + 95 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130955292 and 130955301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130955323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12208 + ... + 20271.

Almost surely, 2130955328 is an apocalyptic number.

130955328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130955328 is an abundant number, since it is smaller than the sum of its proper divisors (298040512).

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

130955328 is a wasteful number, since it uses less digits than its factorization.

130955328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32504 (or 32491 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 130955328 is about 11443.5714704807. The cubic root of 130955328 is about 507.8175714643.

The spelling of 130955328 in words is "one hundred thirty million, nine hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 32479 64958 97437 129916 194874 227353 259832 292311 389748 454706 519664 584622 682059 779496 909412 1039328 1169244 1364118 1558992 1818824 2046177 2078656 2338488 2728236 3117984 3637648 4092354 4676976 5456472 6235968 7275296 8184708 9353952 10912944 14550592 16369416 18707904 21825888 32738832 43651776 65477664 130955328