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116669400 = 23352337577
BaseRepresentation
bin1101111010000…
…11101111011000
322010112102022220
412331003233120
5214331410100
615324344040
72614450011
oct675035730
9263472286
10116669400
115a9474a1
12330a5020
131b22bc63
14116d0008
15a398aa0
hex6f43bd8

116669400 has 96 divisors (see below), whose sum is σ = 363377040. Its totient is φ = 30965760.

The previous prime is 116669389. The next prime is 116669429. The reversal of 116669400 is 4966611.

It is a super-2 number, since 2×1166694002 = 27223497792720000, which contains 22 as substring.

It is a congruent 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, 201912 + ... + 202488.

Almost surely, 2116669400 is an apocalyptic number.

116669400 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 116669400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181688520).

116669400 is an abundant number, since it is smaller than the sum of its proper divisors (246707640).

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

116669400 is a wasteful number, since it uses less digits than its factorization.

116669400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 116669400 is about 10801.3610253523. The cubic root of 116669400 is about 488.6362189160.

The spelling of 116669400 in words is "one hundred sixteen million, six hundred sixty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 337 577 600 674 1011 1154 1348 1685 1731 2022 2308 2696 2885 3370 3462 4044 4616 5055 5770 6740 6924 8088 8425 8655 10110 11540 13480 13848 14425 16850 17310 20220 23080 25275 28850 33700 34620 40440 43275 50550 57700 67400 69240 86550 101100 115400 173100 194449 202200 346200 388898 583347 777796 972245 1166694 1555592 1944490 2333388 2916735 3888980 4666776 4861225 5833470 7777960 9722450 11666940 14583675 19444900 23333880 29167350 38889800 58334700 116669400