Search a number
-
+
116760512 = 2611237211
BaseRepresentation
bin1101111010110…
…01111111000000
322010201001022102
412331121333000
5214342314022
615330325532
72615306441
oct675317700
9263631272
10116760512
115a9a99a0
12331298a8
131b26157b
14117152c8
15a3b5a92
hex6f59fc0

116760512 has 56 divisors (see below), whose sum is σ = 263786112. Its totient is φ = 50758400.

The previous prime is 116760509. The next prime is 116760517. The reversal of 116760512 is 215067611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116760517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12587 + ... + 19797.

Almost surely, 2116760512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116760512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131893056).

116760512 is an abundant number, since it is smaller than the sum of its proper divisors (147025600).

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

116760512 is a wasteful number, since it uses less digits than its factorization.

116760512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7257 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 116760512 is about 10805.5778188859. The cubic root of 116760512 is about 488.7633846192.

The spelling of 116760512 in words is "one hundred sixteen million, seven hundred sixty thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 736 1012 1472 2024 4048 7211 8096 14422 16192 28844 57688 79321 115376 158642 165853 230752 317284 331706 461504 634568 663412 1269136 1326824 1824383 2538272 2653648 3648766 5076544 5307296 7297532 10614592 14595064 29190128 58380256 116760512