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116469792 = 2533235861
BaseRepresentation
bin1101111000100…
…11000000100000
322010011021112000
412330103000200
5214304013132
615320204000
72612656035
oct674230040
9263137460
10116469792
115a82052a
1233009600
131b18c14a
141167b38c
15a35987c
hex6f13020

116469792 has 96 divisors (see below), whose sum is σ = 354533760. Its totient is φ = 37128960.

The previous prime is 116469739. The next prime is 116469797. The reversal of 116469792 is 297964611.

116469792 is a `hidden beast` number, since 116 + 469 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (116469797) 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, 16942 + ... + 22802.

It is an arithmetic number, because the mean of its divisors is an integer number (3693060).

Almost surely, 2116469792 is an apocalyptic number.

116469792 is a gapful number since it is divisible by the number (12) 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 116469792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177266880).

116469792 is an abundant number, since it is smaller than the sum of its proper divisors (238063968).

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

116469792 is a wasteful number, since it uses less digits than its factorization.

116469792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5903 (or 5889 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 116469792 is about 10792.1171231598. The cubic root of 116469792 is about 488.3573929472.

The spelling of 116469792 in words is "one hundred sixteen million, four hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 5861 6624 9936 11722 17583 19872 23444 35166 46888 52749 70332 93776 105498 134803 140664 158247 187552 210996 269606 281328 316494 404409 421992 539212 562656 632988 808818 843984 1078424 1213227 1265976 1617636 1687968 2156848 2426454 2531952 3235272 3639681 4313696 4852908 5063904 6470544 7279362 9705816 12941088 14558724 19411632 29117448 38823264 58234896 116469792