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131069232 = 2433789487
BaseRepresentation
bin1111100111111…
…11010100110000
3100010122000012000
413303333110300
5232023203412
621001134000
73151033020
oct763772460
9303560160
10131069232
1167a92288
1237a8a300
1321201378
141359ba80
15b7904dc
hex7cff530

131069232 has 160 divisors (see below), whose sum is σ = 435686400. Its totient is φ = 36951552.

The previous prime is 131069221. The next prime is 131069233. The reversal of 131069232 is 232960131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131069196 and 131069205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131069233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268893 + ... + 269379.

It is an arithmetic number, because the mean of its divisors is an integer number (2723040).

Almost surely, 2131069232 is an apocalyptic number.

131069232 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 131069232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217843200).

131069232 is an abundant number, since it is smaller than the sum of its proper divisors (304617168).

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

131069232 is a wasteful number, since it uses less digits than its factorization.

131069232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 131069232 is about 11448.5471567357. The cubic root of 131069232 is about 507.9647608184.

The spelling of 131069232 in words is "one hundred thirty-one million, sixty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 89 108 112 126 144 168 178 189 216 252 267 336 356 378 432 487 504 534 623 712 756 801 974 1008 1068 1246 1424 1461 1512 1602 1869 1948 2136 2403 2492 2922 3024 3204 3409 3738 3896 4272 4383 4806 4984 5607 5844 6408 6818 7476 7792 8766 9612 9968 10227 11214 11688 12816 13149 13636 14952 16821 17532 19224 20454 22428 23376 26298 27272 29904 30681 33642 35064 38448 40908 43343 44856 52596 54544 61362 67284 70128 81816 86686 89712 92043 105192 122724 130029 134568 163632 173372 184086 210384 245448 260058 269136 303401 346744 368172 390087 490896 520116 606802 693488 736344 780174 910203 1040232 1170261 1213604 1472688 1560348 1820406 2080464 2340522 2427208 2730609 3120696 3640812 4681044 4854416 5461218 6241392 7281624 8191827 9362088 10922436 14563248 16383654 18724176 21844872 32767308 43689744 65534616 131069232