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117100400 = 24521671753
BaseRepresentation
bin1101111101011…
…00111101110000
322011100022112212
412332230331300
5214434203100
615341511252
72621223404
oct676547560
9264308485
10117100400
116011129a
1233272528
131b3501a1
14117a3104
15a431635
hex6facf70

117100400 has 60 divisors (see below), whose sum is σ = 283179792. Its totient is φ = 46533120.

The previous prime is 117100393. The next prime is 117100409. The reversal of 117100400 is 4001711.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117100409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65924 + ... + 67676.

Almost surely, 2117100400 is an apocalyptic number.

117100400 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 117100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141589896).

117100400 is an abundant number, since it is smaller than the sum of its proper divisors (166079392).

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

117100400 is a wasteful number, since it uses less digits than its factorization.

117100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 117100400 is about 10821.2938228291. The cubic root of 117100400 is about 489.2371859956.

The spelling of 117100400 in words is "one hundred seventeen million, one hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 167 200 334 400 668 835 1336 1670 1753 2672 3340 3506 4175 6680 7012 8350 8765 13360 14024 16700 17530 28048 33400 35060 43825 66800 70120 87650 140240 175300 292751 350600 585502 701200 1171004 1463755 2342008 2927510 4684016 5855020 7318775 11710040 14637550 23420080 29275100 58550200 117100400