Search a number
-
+
116092928 = 21274049
BaseRepresentation
bin1101110101101…
…11000000000000
322002110010120002
412322313000000
5214204433203
615304135132
72606526230
oct672670000
9262403502
10116092928
115a593376
1232a674a8
131b089753
14115bdcc0
15a2d2d88
hex6eb7000

116092928 has 52 divisors (see below), whose sum is σ = 265388400. Its totient is φ = 49741824.

The previous prime is 116092927. The next prime is 116092973. The reversal of 116092928 is 829290611.

It is a super-2 number, since 2×1160929282 = 26955135863226368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116092891 and 116092900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116092927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26648 + ... + 30696.

Almost surely, 2116092928 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 116092928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132694200).

116092928 is an abundant number, since it is smaller than the sum of its proper divisors (149295472).

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

116092928 is an frugal number, since it uses more digits than its factorization.

116092928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 116092928 is about 10774.6428247065. The cubic root of 116092928 is about 487.8300940357.

The spelling of 116092928 in words is "one hundred sixteen million, ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4049 4096 7168 8098 14336 16196 28343 28672 32392 56686 64784 113372 129568 226744 259136 453488 518272 906976 1036544 1813952 2073088 3627904 4146176 7255808 8292352 14511616 16584704 29023232 58046464 116092928