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116349426 = 23319151751
BaseRepresentation
bin1101110111101…
…01100111110010
322002221011102000
412323311213302
5214241140201
615313434430
72611645104
oct673654762
9262834360
10116349426
115a749056
1232b6ba16
131b14941b
1411649574
15a333d86
hex6ef59f2

116349426 has 64 divisors (see below), whose sum is σ = 274329600. Its totient is φ = 36450000.

The previous prime is 116349419. The next prime is 116349427. The reversal of 116349426 is 624943611.

116349426 is a `hidden beast` number, since 1 + 163 + 494 + 2 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116349427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154551 + ... + 155301.

It is an arithmetic number, because the mean of its divisors is an integer number (4286400).

Almost surely, 2116349426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116349426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137164800).

116349426 is an abundant number, since it is smaller than the sum of its proper divisors (157980174).

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

116349426 is a wasteful number, since it uses less digits than its factorization.

116349426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 926 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 116349426 is about 10786.5391113183. The cubic root of 116349426 is about 488.1891035681.

The spelling of 116349426 in words is "one hundred sixteen million, three hundred forty-nine thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 151 171 302 342 453 513 751 906 1026 1359 1502 2253 2718 2869 4077 4506 5738 6759 8154 8607 13518 14269 17214 20277 25821 28538 40554 42807 51642 77463 85614 113401 128421 154926 226802 256842 340203 385263 680406 770526 1020609 2041218 2154619 3061827 4309238 6123654 6463857 12927714 19391571 38783142 58174713 116349426