[go: up one dir, main page]

Search a number
-
+
131120360 = 2357569823
BaseRepresentation
bin1111101000010…
…11110011101000
3100010201121022122
413310023303220
5232031322420
621002210412
73151335050
oct764136350
9303647278
10131120360
1168017738
1237ab3a08
132121b717
14135b2560
15b7a0725
hex7d0bce8

131120360 has 64 divisors (see below), whose sum is σ = 338169600. Its totient is φ = 44822016.

The previous prime is 131120257. The next prime is 131120413. The reversal of 131120360 is 63021131.

131120360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 158909 + ... + 159731.

It is an arithmetic number, because the mean of its divisors is an integer number (5283900).

Almost surely, 2131120360 is an apocalyptic number.

131120360 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 131120360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169084800).

131120360 is an abundant number, since it is smaller than the sum of its proper divisors (207049240).

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

131120360 is a wasteful number, since it uses less digits than its factorization.

131120360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 131120360 is about 11450.7798861038. The cubic root of 131120360 is about 508.0308018606.

Adding to 131120360 its reverse (63021131), we get a palindrome (194141491).

The spelling of 131120360 in words is "one hundred thirty-one million, one hundred twenty thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 569 823 1138 1646 2276 2845 3292 3983 4115 4552 5690 5761 6584 7966 8230 11380 11522 15932 16460 19915 22760 23044 28805 31864 32920 39830 46088 57610 79660 115220 159320 230440 468287 936574 1873148 2341435 3278009 3746296 4682870 6556018 9365740 13112036 16390045 18731480 26224072 32780090 65560180 131120360