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130360032 = 25321141149
BaseRepresentation
bin1111100010100…
…10001011100000
3100002021222100100
413301102023200
5231333010112
620534022400
73142020255
oct761221340
9302258310
10130360032
1167648470
12377a7a00
132101361a
141345542c
15b6a02dc
hex7c522e0

130360032 has 72 divisors (see below), whose sum is σ = 404422200. Its totient is φ = 39502080.

The previous prime is 130360003. The next prime is 130360037. The reversal of 130360032 is 230063031.

It is a happy number.

130360032 is a `hidden beast` number, since 1 + 30 + 3 + 600 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130359987 and 130360014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130360037) 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, 17407 + ... + 23742.

It is an arithmetic number, because the mean of its divisors is an integer number (5616975).

Almost surely, 2130360032 is an apocalyptic number.

130360032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130360032 is an abundant number, since it is smaller than the sum of its proper divisors (274062168).

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

130360032 is a wasteful number, since it uses less digits than its factorization.

130360032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41176 (or 41165 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 130360032 is about 11417.5317823074. The cubic root of 130360032 is about 507.0469244525.

The spelling of 130360032 in words is "one hundred thirty million, three hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 41149 82298 123447 164596 246894 329192 370341 452639 493788 658384 740682 905278 987576 1316768 1357917 1481364 1810556 1975152 2715834 2962728 3621112 3950304 4073751 5431668 5925456 7242224 8147502 10863336 11850912 14484448 16295004 21726672 32590008 43453344 65180016 130360032