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130953072 = 24315717377
BaseRepresentation
bin1111100111000…
…10111101110000
3100010102002211210
413303202331300
5232010444242
620554440120
73150040245
oct763427560
9303362753
10130953072
1167a12a88
1237a33040
1321190533
141356b5cc
15b76ad9c
hex7ce2f70

130953072 has 40 divisors (see below), whose sum is σ = 340469776. Its totient is φ = 43370496.

The previous prime is 130953061. The next prime is 130953077. The reversal of 130953072 is 270359031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130953077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1153 + ... + 16224.

Almost surely, 2130953072 is an apocalyptic number.

130953072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130953072 is an abundant number, since it is smaller than the sum of its proper divisors (209516704).

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

130953072 is a wasteful number, since it uses less digits than its factorization.

130953072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17545 (or 17539 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 130953072 is about 11443.4728994305. The cubic root of 130953072 is about 507.8146553477.

The spelling of 130953072 in words is "one hundred thirty million, nine hundred fifty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 157 314 471 628 942 1256 1884 2512 3768 7536 17377 34754 52131 69508 104262 139016 208524 278032 417048 834096 2728189 5456378 8184567 10912756 16369134 21825512 32738268 43651024 65476536 130953072