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116246304 = 25323710909
BaseRepresentation
bin1101110110111…
…00011100100000
322002201220221200
412323130130200
5214224340204
615311321200
72611035336
oct673343440
9262656850
10116246304
115a688629
1232b20200
131b1114c5
141161db56
15a313539
hex6edc720

116246304 has 72 divisors (see below), whose sum is σ = 339541020. Its totient is φ = 37698048.

The previous prime is 116246287. The next prime is 116246309. The reversal of 116246304 is 403642611.

116246304 is a `hidden beast` number, since 1 + 1 + 6 + 24 + 630 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115347600 + 898704 = 10740^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (116246309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5202 + ... + 16110.

Almost surely, 2116246304 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 116246304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169770510).

116246304 is an abundant number, since it is smaller than the sum of its proper divisors (223294716).

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

116246304 is a wasteful number, since it uses less digits than its factorization.

116246304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10962 (or 10951 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 116246304 is about 10781.7579271657. The cubic root of 116246304 is about 488.0448314990.

Adding to 116246304 its reverse (403642611), we get a palindrome (519888915).

The spelling of 116246304 in words is "one hundred sixteen million, two hundred forty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 10909 21818 32727 43636 65454 87272 98181 130908 174544 196362 261816 349088 392724 403633 523632 785448 807266 1047264 1210899 1570896 1614532 2421798 3141792 3229064 3632697 4843596 6458128 7265394 9687192 12916256 14530788 19374384 29061576 38748768 58123152 116246304