Search a number
-
+
116052160 = 2657103503
BaseRepresentation
bin1101110101011…
…01000011000000
322002101001122011
412322231003000
5214202132120
615303222304
72606266330
oct672550300
9262331564
10116052160
115a565784
1232a47994
131b074023
14115ad0c0
15a2c5c5a
hex6ead0c0

116052160 has 112 divisors (see below), whose sum is σ = 319527936. Its totient is φ = 39324672.

The previous prime is 116052151. The next prime is 116052163. The reversal of 116052160 is 61250611.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (116052163) 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, 230469 + ... + 230971.

It is an arithmetic number, because the mean of its divisors is an integer number (2852928).

Almost surely, 2116052160 is an apocalyptic number.

116052160 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 116052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159763968).

116052160 is an abundant number, since it is smaller than the sum of its proper divisors (203475776).

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

116052160 is a wasteful number, since it uses less digits than its factorization.

116052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 116052160 is about 10772.7508093337. The cubic root of 116052160 is about 487.7729840806.

The spelling of 116052160 in words is "one hundred sixteen million, fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 103 112 140 160 206 224 280 320 412 448 503 515 560 721 824 1006 1030 1120 1442 1648 2012 2060 2240 2515 2884 3296 3521 3605 4024 4120 5030 5768 6592 7042 7210 8048 8240 10060 11536 14084 14420 16096 16480 17605 20120 23072 28168 28840 32192 32960 35210 40240 46144 51809 56336 57680 70420 80480 103618 112672 115360 140840 160960 207236 225344 230720 259045 281680 362663 414472 518090 563360 725326 828944 1036180 1126720 1450652 1657888 1813315 2072360 2901304 3315776 3626630 4144720 5802608 7253260 8289440 11605216 14506520 16578880 23210432 29013040 58026080 116052160