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116113296 = 24313317587
BaseRepresentation
bin1101110101110…
…11111110010000
322002111011111110
412322323332100
5214211111141
615304413320
72606642505
oct672737620
9262434443
10116113296
115a5a7702
1232a77240
131b095ac0
14115c74ac
15a2d8e16
hex6ebbf90

116113296 has 80 divisors (see below), whose sum is σ = 324604224. Its totient is φ = 35553792.

The previous prime is 116113279. The next prime is 116113307. The reversal of 116113296 is 692311611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197515 + ... + 198101.

Almost surely, 2116113296 is an apocalyptic number.

116113296 is a gapful number since it is divisible by the number (16) 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 116113296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162302112).

116113296 is an abundant number, since it is smaller than the sum of its proper divisors (208490928).

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

116113296 is a wasteful number, since it uses less digits than its factorization.

116113296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 922 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 116113296 is about 10775.5879653966. The cubic root of 116113296 is about 487.8586215911.

The spelling of 116113296 in words is "one hundred sixteen million, one hundred thirteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 317 587 624 634 951 1174 1268 1761 1902 2348 2536 3522 3804 4121 4696 5072 7044 7608 7631 8242 9392 12363 14088 15216 15262 16484 22893 24726 28176 30524 32968 45786 49452 61048 65936 91572 98904 122096 183144 186079 197808 366288 372158 558237 744316 1116474 1488632 2232948 2419027 2977264 4465896 4838054 7257081 8931792 9676108 14514162 19352216 29028324 38704432 58056648 116113296