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116494624 = 2519296607
BaseRepresentation
bin1101111000110…
…01000100100000
322010012112120201
412330121010200
5214310311444
615320514544
72613121321
oct674310440
9263175521
10116494624
115a838154
123301ba54
131b19a53c
1411686448
15a361dd4
hex6f19120

116494624 has 48 divisors (see below), whose sum is σ = 249782400. Its totient is φ = 53270784.

The previous prime is 116494619. The next prime is 116494627. The reversal of 116494624 is 426494611.

It is not an unprimeable number, because it can be changed into a prime (116494627) 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 7 ways as a sum of consecutive naturals, for example, 14329 + ... + 20935.

It is an arithmetic number, because the mean of its divisors is an integer number (5203800).

Almost surely, 2116494624 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 116494624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124891200).

116494624 is an abundant number, since it is smaller than the sum of its proper divisors (133287776).

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

116494624 is a wasteful number, since it uses less digits than its factorization.

116494624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6665 (or 6657 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 116494624 is about 10793.2675311974. The cubic root of 116494624 is about 488.3920973080.

The spelling of 116494624 in words is "one hundred sixteen million, four hundred ninety-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 464 551 608 928 1102 2204 4408 6607 8816 13214 17632 26428 52856 105712 125533 191603 211424 251066 383206 502132 766412 1004264 1532824 2008528 3065648 3640457 4017056 6131296 7280914 14561828 29123656 58247312 116494624