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116896640 = 275797269
BaseRepresentation
bin1101111011110…
…11001110000000
322010221222001012
412331323032000
5214411143030
615333300052
72616414350
oct675731600
9263858035
10116896640
115aa921a3
1233194628
131b2ab513
141174cb60
15a3e1095
hex6f7b380

116896640 has 128 divisors (see below), whose sum is σ = 323870400. Its totient is φ = 39518208.

The previous prime is 116896639. The next prime is 116896669. The reversal of 116896640 is 46698611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434426 + ... + 434694.

Almost surely, 2116896640 is an apocalyptic number.

116896640 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 116896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161935200).

116896640 is an abundant number, since it is smaller than the sum of its proper divisors (206973760).

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

116896640 is an equidigital number, since it uses as much as digits as its factorization.

116896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 116896640 is about 10811.8749530320. The cubic root of 116896640 is about 488.9532562939.

The spelling of 116896640 in words is "one hundred sixteen million, eight hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 97 112 128 140 160 194 224 269 280 320 388 448 485 538 560 640 679 776 896 970 1076 1120 1345 1358 1552 1883 1940 2152 2240 2690 2716 3104 3395 3766 3880 4304 4480 5380 5432 6208 6790 7532 7760 8608 9415 10760 10864 12416 13580 15064 15520 17216 18830 21520 21728 26093 27160 30128 31040 34432 37660 43040 43456 52186 54320 60256 62080 75320 86080 86912 104372 108640 120512 130465 150640 172160 182651 208744 217280 241024 260930 301280 365302 417488 434560 521860 602560 730604 834976 913255 1043720 1205120 1461208 1669952 1826510 2087440 2922416 3339904 3653020 4174880 5844832 7306040 8349760 11689664 14612080 16699520 23379328 29224160 58448320 116896640