Search a number
-
+
116157160 = 23573371231
BaseRepresentation
bin1101110110001…
…10101011101000
322002120101200001
412323012223220
5214214012120
615305352344
72610214420
oct673065350
9262511601
10116157160
115a627659
1232a986b4
131b0aca62
14115d9480
15a2e6e0a
hex6ec6ae8

116157160 has 64 divisors (see below), whose sum is σ = 299819520. Its totient is φ = 39674880.

The previous prime is 116157149. The next prime is 116157161. The reversal of 116157160 is 61751611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (116157161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93745 + ... + 94975.

It is an arithmetic number, because the mean of its divisors is an integer number (4684680).

Almost surely, 2116157160 is an apocalyptic number.

116157160 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 116157160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149909760).

116157160 is an abundant number, since it is smaller than the sum of its proper divisors (183662360).

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

116157160 is a wasteful number, since it uses less digits than its factorization.

116157160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 116157160 is about 10777.6231145833. The cubic root of 116157160 is about 487.9200464730.

The spelling of 116157160 in words is "one hundred sixteen million, one hundred fifty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 337 674 1231 1348 1685 2359 2462 2696 3370 4718 4924 6155 6740 8617 9436 9848 11795 12310 13480 17234 18872 23590 24620 34468 43085 47180 49240 68936 86170 94360 172340 344680 414847 829694 1659388 2074235 2903929 3318776 4148470 5807858 8296940 11615716 14519645 16593880 23231432 29039290 58078580 116157160