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117068400 = 243252311049
BaseRepresentation
bin1101111101001…
…01001001110000
322011021200122200
412332211021300
5214432142100
615341103200
72621031201
oct676451160
9264250580
10117068400
116009a249
1233257b00
131b33b757
14117955a8
15a426e00
hex6fa5270

117068400 has 180 divisors, whose sum is σ = 419764800. Its totient is φ = 30182400.

The previous prime is 117068387. The next prime is 117068423. The reversal of 117068400 is 4860711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111076 + ... + 112124.

Almost surely, 2117068400 is an apocalyptic number.

117068400 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 117068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209882400).

117068400 is an abundant number, since it is smaller than the sum of its proper divisors (302696400).

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

117068400 is a wasteful number, since it uses less digits than its factorization.

117068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 117068400 is about 10819.8151555375. The cubic root of 117068400 is about 489.1926173569.

The spelling of 117068400 in words is "one hundred seventeen million, sixty-eight thousand, four hundred".