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130632920 = 23511359827
BaseRepresentation
bin1111100100101…
…00110011011000
3100002210211200022
413302110303120
5231420223140
620543530012
73144234665
oct762246330
9302724608
10130632920
11678144a0
12378b9908
13210aa8b2
14134c6a6c
15b7060b5
hex7c94cd8

130632920 has 64 divisors (see below), whose sum is σ = 321926400. Its totient is φ = 47313280.

The previous prime is 130632877. The next prime is 130632941. The reversal of 130632920 is 29236031.

It is a self number, because there is not a number n which added to its sum of digits gives 130632920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157547 + ... + 158373.

It is an arithmetic number, because the mean of its divisors is an integer number (5030100).

Almost surely, 2130632920 is an apocalyptic number.

130632920 is a gapful number since it is divisible by the number (10) 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 130632920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160963200).

130632920 is an abundant number, since it is smaller than the sum of its proper divisors (191293480).

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

130632920 is a wasteful number, since it uses less digits than its factorization.

130632920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 130632920 is about 11429.4759284930. The cubic root of 130632920 is about 507.4004852317.

Adding to 130632920 its reverse (29236031), we get a palindrome (159868951).

The spelling of 130632920 in words is "one hundred thirty million, six hundred thirty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 359 440 718 827 1436 1654 1795 2872 3308 3590 3949 4135 6616 7180 7898 8270 9097 14360 15796 16540 18194 19745 31592 33080 36388 39490 45485 72776 78980 90970 157960 181940 296893 363880 593786 1187572 1484465 2375144 2968930 3265823 5937860 6531646 11875720 13063292 16329115 26126584 32658230 65316460 130632920