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116729800 = 23521197547
BaseRepresentation
bin1101111010100…
…10011111001000
322010122111011221
412331102133020
5214340323200
615325531424
72615121055
oct675223710
9263574157
10116729800
115a988910
1233113b74
131b2505b5
141170802c
15a3ab91a
hex6f527c8

116729800 has 96 divisors (see below), whose sum is σ = 299668320. Its totient is φ = 41932800.

The previous prime is 116729771. The next prime is 116729813. The reversal of 116729800 is 8927611.

It is a happy 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, 213127 + ... + 213673.

It is an arithmetic number, because the mean of its divisors is an integer number (3121545).

Almost surely, 2116729800 is an apocalyptic number.

116729800 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 116729800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149834160).

116729800 is an abundant number, since it is smaller than the sum of its proper divisors (182938520).

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

116729800 is a wasteful number, since it uses less digits than its factorization.

116729800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 116729800 is about 10804.1566075284. The cubic root of 116729800 is about 488.7205270436.

The spelling of 116729800 in words is "one hundred sixteen million, seven hundred twenty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 110 194 200 220 275 388 440 485 547 550 776 970 1067 1094 1100 1940 2134 2188 2200 2425 2735 3880 4268 4376 4850 5335 5470 6017 8536 9700 10670 10940 12034 13675 19400 21340 21880 24068 26675 27350 30085 42680 48136 53059 53350 54700 60170 106118 106700 109400 120340 150425 212236 213400 240680 265295 300850 424472 530590 583649 601700 1061180 1167298 1203400 1326475 2122360 2334596 2652950 2918245 4669192 5305900 5836490 10611800 11672980 14591225 23345960 29182450 58364900 116729800