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116383392 = 25371663
BaseRepresentation
bin1101110111111…
…01111010100000
322002222220000000
412323331322200
5214243232032
615314300000
72612146116
oct673757240
9262886000
10116383392
115a771624
1232b87600
131b15ba18
1411657ab6
15a33de7c
hex6efdea0

116383392 has 96 divisors (see below), whose sum is σ = 343848960. Its totient is φ = 38771136.

The previous prime is 116383391. The next prime is 116383441. The reversal of 116383392 is 293383611.

116383392 = 683 + 693 + ... + 1483.

116383392 is a `hidden beast` number, since 11 + 638 + 3 + 3 + 9 + 2 = 666.

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

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (116383391) by changing a digit.

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, 69153 + ... + 70815.

It is an arithmetic number, because the mean of its divisors is an integer number (3581760).

Almost surely, 2116383392 is an apocalyptic number.

116383392 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 116383392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171924480).

116383392 is an abundant number, since it is smaller than the sum of its proper divisors (227465568).

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

116383392 is an frugal number, since it uses more digits than its factorization.

116383392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1668 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 116383392 is about 10788.1134588027. The cubic root of 116383392 is about 488.2366047844.

The spelling of 116383392 in words is "one hundred sixteen million, three hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1663 1944 2187 2592 2916 3326 3888 4374 4989 5832 6652 7776 8748 9978 11664 13304 14967 17496 19956 23328 26608 29934 34992 39912 44901 53216 59868 69984 79824 89802 119736 134703 159648 179604 239472 269406 359208 404109 478944 538812 718416 808218 1077624 1212327 1436832 1616436 2155248 2424654 3232872 3636981 4310496 4849308 6465744 7273962 9698616 12931488 14547924 19397232 29095848 38794464 58191696 116383392