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116396800 = 2852131399
BaseRepresentation
bin1101111000000…
…01001100000000
322010000120101121
412330001030000
5214244144200
615314442024
72612233162
oct674011400
9263016347
10116396800
115a780703
1232b93314
131b164b60
141165c932
15a342e1a
hex6f01300

116396800 has 108 divisors (see below), whose sum is σ = 310483600. Its totient is φ = 42946560.

The previous prime is 116396789. The next prime is 116396801. The reversal of 116396800 is 8693611.

It is not an unprimeable number, because it can be changed into a prime (116396801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82501 + ... + 83899.

Almost surely, 2116396800 is an apocalyptic number.

116396800 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 116396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155241800).

116396800 is an abundant number, since it is smaller than the sum of its proper divisors (194086800).

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

116396800 is a wasteful number, since it uses less digits than its factorization.

116396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 116396800 is about 10788.7348655901. The cubic root of 116396800 is about 488.2553532356.

The spelling of 116396800 in words is "one hundred sixteen million, three hundred ninety-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 520 640 650 800 832 1040 1280 1300 1399 1600 1664 2080 2600 2798 3200 3328 4160 5200 5596 6400 6995 8320 10400 11192 13990 16640 18187 20800 22384 27980 34975 36374 41600 44768 55960 69950 72748 83200 89536 90935 111920 139900 145496 179072 181870 223840 279800 290992 358144 363740 447680 454675 559600 581984 727480 895360 909350 1119200 1163968 1454960 1790720 1818700 2238400 2327936 2909920 3637400 4476800 4655872 5819840 7274800 8953600 11639680 14549600 23279360 29099200 58198400 116396800