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116837406 = 23271019181
BaseRepresentation
bin1101111011011…
…00110000011110
322010211221210100
412331230300132
5214402244111
615332121530
72616046560
oct675546036
9263757710
10116837406
115aa51744
12331662a6
131b28a57a
1411735330
15a3cd756
hex6f6cc1e

116837406 has 48 divisors (see below), whose sum is σ = 292207968. Its totient is φ = 33048000.

The previous prime is 116837393. The next prime is 116837411. The reversal of 116837406 is 604738611.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8136 + ... + 17316.

It is an arithmetic number, because the mean of its divisors is an integer number (6087666).

Almost surely, 2116837406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116837406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146103984).

116837406 is an abundant number, since it is smaller than the sum of its proper divisors (175370562).

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

116837406 is a wasteful number, since it uses less digits than its factorization.

116837406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9297 (or 9294 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 116837406 is about 10809.1353030666. The cubic root of 116837406 is about 488.8706546880.

The spelling of 116837406 in words is "one hundred sixteen million, eight hundred thirty-seven thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 4242 6363 9181 12726 18362 27543 55086 64267 82629 128534 165258 192801 385602 578403 927281 1156806 1854562 2781843 5563686 6490967 8345529 12981934 16691058 19472901 38945802 58418703 116837406