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130436920 = 23517433443
BaseRepresentation
bin1111100011001…
…00111100111000
3100002102212211001
413301210330320
5231342440140
620535414344
73142460365
oct761447470
9302385731
10130436920
11676a0209
12378243b4
132103c613
141347546c
15b6b7e9a
hex7c64f38

130436920 has 64 divisors (see below), whose sum is σ = 312167520. Its totient is φ = 48881664.

The previous prime is 130436909. The next prime is 130436947. The reversal of 130436920 is 29634031.

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, 294219 + ... + 294661.

Almost surely, 2130436920 is an apocalyptic number.

130436920 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 130436920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156083760).

130436920 is an abundant number, since it is smaller than the sum of its proper divisors (181730600).

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

130436920 is a wasteful number, since it uses less digits than its factorization.

130436920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 130436920 is about 11420.8983884807. The cubic root of 130436920 is about 507.1465924286.

The spelling of 130436920 in words is "one hundred thirty million, four hundred thirty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 433 443 680 866 886 1732 1772 2165 2215 3464 3544 4330 4430 7361 7531 8660 8860 14722 15062 17320 17720 29444 30124 36805 37655 58888 60248 73610 75310 147220 150620 191819 294440 301240 383638 767276 959095 1534552 1918190 3260923 3836380 6521846 7672760 13043692 16304615 26087384 32609230 65218460 130436920