Search a number
-
+
116725716 = 223253131467
BaseRepresentation
bin1101111010100…
…01011111010100
322010122021120200
412331101133110
5214340210331
615325500500
72615103132
oct675213724
9263567520
10116725716
115a985838
1233111730
131b24b793
1411706752
15a3aa5e6
hex6f517d4

116725716 has 72 divisors (see below), whose sum is σ = 303567264. Its totient is φ = 37801920.

The previous prime is 116725703. The next prime is 116725717. The reversal of 116725716 is 617527611.

116725716 is a `hidden beast` number, since 1 + 16 + 72 + 571 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116725717) 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, 249715 + ... + 250181.

It is an arithmetic number, because the mean of its divisors is an integer number (4216212).

Almost surely, 2116725716 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 116725716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151783632).

116725716 is an abundant number, since it is smaller than the sum of its proper divisors (186841548).

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

116725716 is a wasteful number, since it uses less digits than its factorization.

116725716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 656 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 116725716 is about 10803.9676045423. The cubic root of 116725716 is about 488.7148273911.

The spelling of 116725716 in words is "one hundred sixteen million, seven hundred twenty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 131 159 212 262 318 393 467 477 524 636 786 934 954 1179 1401 1572 1868 1908 2358 2802 4203 4716 5604 6943 8406 13886 16812 20829 24751 27772 41658 49502 61177 62487 74253 83316 99004 122354 124974 148506 183531 222759 244708 249948 297012 367062 445518 550593 734124 891036 1101186 2202372 3242381 6484762 9727143 12969524 19454286 29181429 38908572 58362858 116725716