Search a number
-
+
131646912 = 2631753761
BaseRepresentation
bin1111101100011…
…00010111000000
3100011201100121120
413312030113000
5232200200122
621021352240
73155660145
oct766142700
9304640546
10131646912
1168347301
1238108680
13213742a7
14136ac3cc
15b85675c
hex7d8c5c0

131646912 has 112 divisors (see below), whose sum is σ = 376257312. Its totient is φ = 40468480.

The previous prime is 131646899. The next prime is 131646913. The reversal of 131646912 is 219646131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131646913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172612 + ... + 173372.

Almost surely, 2131646912 is an apocalyptic number.

131646912 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 131646912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188128656).

131646912 is an abundant number, since it is smaller than the sum of its proper divisors (244610400).

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

131646912 is a wasteful number, since it uses less digits than its factorization.

131646912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 836 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 131646912 is about 11473.7488206776. The cubic root of 131646912 is about 508.7099421319.

The spelling of 131646912 in words is "one hundred thirty-one million, six hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 64 68 96 102 106 136 159 192 204 212 272 318 408 424 544 636 761 816 848 901 1088 1272 1522 1632 1696 1802 2283 2544 2703 3044 3264 3392 3604 4566 5088 5406 6088 7208 9132 10176 10812 12176 12937 14416 18264 21624 24352 25874 28832 36528 38811 40333 43248 48704 51748 57664 73056 77622 80666 86496 103496 120999 146112 155244 161332 172992 206992 241998 310488 322664 413984 483996 620976 645328 685661 827968 967992 1241952 1290656 1371322 1935984 2056983 2483904 2581312 2742644 3871968 4113966 5485288 7743936 8227932 10970576 16455864 21941152 32911728 43882304 65823456 131646912