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131669772 = 2231319311433
BaseRepresentation
bin1111101100100…
…01111100001100
3100011202111222020
413312101330030
5232201413042
621022050140
73156113613
oct766217414
9304674866
10131669772
11683624a3
1238119950
1321381810
14136b687a
15b85d3ec
hex7d91f0c

131669772 has 96 divisors (see below), whose sum is σ = 359761920. Its totient is φ = 37117440.

The previous prime is 131669771. The next prime is 131669801. The reversal of 131669772 is 277966131.

131669772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131669771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91168 + ... + 92600.

It is an arithmetic number, because the mean of its divisors is an integer number (3747520).

Almost surely, 2131669772 is an apocalyptic number.

131669772 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 131669772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179880960).

131669772 is an abundant number, since it is smaller than the sum of its proper divisors (228092148).

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

131669772 is a wasteful number, since it uses less digits than its factorization.

131669772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1501 counting only the distinct ones).

The product of its digits is 95256, while the sum is 42.

The square root of 131669772 is about 11474.7449644861. The cubic root of 131669772 is about 508.7393856285.

It can be divided in two parts, 131 and 669772, that added together give a triangular number (669903 = T1157).

The spelling of 131669772 in words is "one hundred thirty-one million, six hundred sixty-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 19 26 31 38 39 52 57 62 76 78 93 114 124 156 186 228 247 372 403 494 589 741 806 988 1178 1209 1433 1482 1612 1767 2356 2418 2866 2964 3534 4299 4836 5732 7068 7657 8598 15314 17196 18629 22971 27227 30628 37258 44423 45942 54454 55887 74516 81681 88846 91884 108908 111774 133269 163362 177692 223548 266538 326724 353951 533076 577499 707902 844037 1061853 1154998 1415804 1688074 1732497 2123706 2309996 2532111 3376148 3464994 4247412 5064222 6929988 10128444 10972481 21944962 32917443 43889924 65834886 131669772