Search a number
-
+
130953792 = 263292811
BaseRepresentation
bin1111100111000…
…11001001000000
3100010102010211110
413303203021000
5232011010132
620554443320
73150042324
oct763431100
9303363743
10130953792
1167a13582
1237a33540
1321190968
141356b984
15b76b1cc
hex7ce3240

130953792 has 84 divisors (see below), whose sum is σ = 359284016. Its totient is φ = 42094080.

The previous prime is 130953787. The next prime is 130953793. The reversal of 130953792 is 297359031.

It is a self number, because there is not a number n which added to its sum of digits gives 130953792.

It is not an unprimeable number, because it can be changed into a prime (130953793) 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, 161067 + ... + 161877.

Almost surely, 2130953792 is an apocalyptic number.

130953792 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 130953792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179642008).

130953792 is an abundant number, since it is smaller than the sum of its proper divisors (228330224).

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

130953792 is an equidigital number, since it uses as much as digits as its factorization.

130953792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 130953792 is about 11443.5043583686. The cubic root of 130953792 is about 507.8155860268.

The spelling of 130953792 in words is "one hundred thirty million, nine hundred fifty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 811 841 928 1392 1622 1682 1856 2433 2523 2784 3244 3364 4866 5046 5568 6488 6728 9732 10092 12976 13456 19464 20184 23519 25952 26912 38928 40368 47038 51904 53824 70557 77856 80736 94076 141114 155712 161472 188152 282228 376304 564456 682051 752608 1128912 1364102 1505216 2046153 2257824 2728204 4092306 4515648 5456408 8184612 10912816 16369224 21825632 32738448 43651264 65476896 130953792