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116426064 = 24317612339
BaseRepresentation
bin1101111000010…
…00010101010000
322010002001112110
412330020111100
5214301113224
615315225320
72612414406
oct674102520
9263061473
10116426064
115a7a0697
1232ba8240
131b175281
1411669476
15a34b929
hex6f08550

116426064 has 80 divisors (see below), whose sum is σ = 323818560. Its totient is φ = 35911680.

The previous prime is 116426029. The next prime is 116426071. The reversal of 116426064 is 460624611.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 48607 + ... + 50945.

It is an arithmetic number, because the mean of its divisors is an integer number (4047732).

Almost surely, 2116426064 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 116426064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161909280).

116426064 is an abundant number, since it is smaller than the sum of its proper divisors (207392496).

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

116426064 is a wasteful number, since it uses less digits than its factorization.

116426064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 116426064 is about 10790.0910098108. The cubic root of 116426064 is about 488.2962681846.

The spelling of 116426064 in words is "one hundred sixteen million, four hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 61 68 102 122 136 183 204 244 272 366 408 488 732 816 976 1037 1464 2074 2339 2928 3111 4148 4678 6222 7017 8296 9356 12444 14034 16592 18712 24888 28068 37424 39763 49776 56136 79526 112272 119289 142679 159052 238578 285358 318104 428037 477156 570716 636208 856074 954312 1141432 1712148 1908624 2282864 2425543 3424296 4851086 6848592 7276629 9702172 14553258 19404344 29106516 38808688 58213032 116426064