Search a number
-
+
131055372 = 22327593877
BaseRepresentation
bin1111100111110…
…11111100001100
3100010121022011200
413303323330030
5232022232442
621000545500
73150644430
oct763737414
9303538150
10131055372
1167a82928
1237a82290
13211c7c76
14135969c0
15b78b34c
hex7cfbf0c

131055372 has 72 divisors (see below), whose sum is σ = 379675296. Its totient is φ = 37338624.

The previous prime is 131055361. The next prime is 131055373. The reversal of 131055372 is 273550131.

It is not an unprimeable number, because it can be changed into a prime (131055373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148998 + ... + 149874.

It is an arithmetic number, because the mean of its divisors is an integer number (5273268).

Almost surely, 2131055372 is an apocalyptic number.

131055372 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 131055372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189837648).

131055372 is an abundant number, since it is smaller than the sum of its proper divisors (248619924).

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

131055372 is a wasteful number, since it uses less digits than its factorization.

131055372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 131055372 is about 11447.9418237516. The cubic root of 131055372 is about 507.9468551675.

The spelling of 131055372 in words is "one hundred thirty-one million, fifty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 593 877 1186 1754 1779 2372 2631 3508 3558 4151 5262 5337 6139 7116 7893 8302 10524 10674 12278 12453 15786 16604 18417 21348 24556 24906 31572 36834 37359 49812 55251 73668 74718 110502 149436 221004 520061 1040122 1560183 2080244 3120366 3640427 4680549 6240732 7280854 9361098 10921281 14561708 18722196 21842562 32763843 43685124 65527686 131055372