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116326440 = 233253111039
BaseRepresentation
bin1101110111100…
…00000000101000
322002212222212200
412323300000220
5214234421230
615313140200
72611521066
oct673600050
9262788780
10116326440
115a73285a
1232b5a660
131b13bb19
1411641036
15a32c160
hex6ef0028

116326440 has 96 divisors (see below), whose sum is σ = 379641600. Its totient is φ = 30890880.

The previous prime is 116326439. The next prime is 116326487. The reversal of 116326440 is 44623611.

116326440 is a `hidden beast` number, since 1 + 16 + 3 + 2 + 644 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 111441 + ... + 112479.

It is an arithmetic number, because the mean of its divisors is an integer number (3954600).

Almost surely, 2116326440 is an apocalyptic number.

116326440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116326440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189820800).

116326440 is an abundant number, since it is smaller than the sum of its proper divisors (263315160).

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

116326440 is a wasteful number, since it uses less digits than its factorization.

116326440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 116326440 is about 10785.4735640119. The cubic root of 116326440 is about 488.1569525606.

The spelling of 116326440 in words is "one hundred sixteen million, three hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 311 360 622 933 1039 1244 1555 1866 2078 2488 2799 3110 3117 3732 4156 4665 5195 5598 6220 6234 7464 8312 9330 9351 10390 11196 12440 12468 13995 15585 18660 18702 20780 22392 24936 27990 31170 37320 37404 41560 46755 55980 62340 74808 93510 111960 124680 187020 323129 374040 646258 969387 1292516 1615645 1938774 2585032 2908161 3231290 3877548 4846935 5816322 6462580 7755096 9693870 11632644 12925160 14540805 19387740 23265288 29081610 38775480 58163220 116326440