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116300640 = 2535793067
BaseRepresentation
bin1101110111010…
…01101101100000
322002211200111010
412323221231200
5214233110030
615312420520
72611352631
oct673515540
9262750433
10116300640
115a715435
1232b47740
131b130161
1411635888
15a3246b0
hex6ee9b60

116300640 has 96 divisors (see below), whose sum is σ = 371105280. Its totient is φ = 30610944.

The previous prime is 116300629. The next prime is 116300651. The reversal of 116300640 is 46003611.

It is an interprime number because it is at equal distance from previous prime (116300629) and next prime (116300651).

It is a tau number, because it is divible by the number of its divisors (96).

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, 36387 + ... + 39453.

It is an arithmetic number, because the mean of its divisors is an integer number (3865680).

Almost surely, 2116300640 is an apocalyptic number.

116300640 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 116300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185552640).

116300640 is an abundant number, since it is smaller than the sum of its proper divisors (254804640).

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

116300640 is a wasteful number, since it uses less digits than its factorization.

116300640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 116300640 is about 10784.2774445023. The cubic root of 116300640 is about 488.1208605063.

The spelling of 116300640 in words is "one hundred sixteen million, three hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 79 80 96 120 158 160 237 240 316 395 474 480 632 790 948 1185 1264 1580 1896 2370 2528 3067 3160 3792 4740 6134 6320 7584 9201 9480 12268 12640 15335 18402 18960 24536 30670 36804 37920 46005 49072 61340 73608 92010 98144 122680 147216 184020 242293 245360 294432 368040 484586 490720 726879 736080 969172 1211465 1453758 1472160 1938344 2422930 2907516 3634395 3876688 4845860 5815032 7268790 7753376 9691720 11630064 14537580 19383440 23260128 29075160 38766880 58150320 116300640