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117331400 = 23525311069
BaseRepresentation
bin1101111111001…
…01010111001000
322011210001102102
412333211113020
5220014101100
615350452532
72623205024
oct677452710
9264701372
10117331400
11602598aa
1233364148
131b401384
1411823384
15a479cd5
hex6fe55c8

117331400 has 48 divisors (see below), whose sum is σ = 277967700. Its totient is φ = 46042880.

The previous prime is 117331387. The next prime is 117331421. The reversal of 117331400 is 4133711.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29008996 + 88322404 = 5386^2 + 9398^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5066 + ... + 16134.

Almost surely, 2117331400 is an apocalyptic number.

117331400 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 117331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138983850).

117331400 is an abundant number, since it is smaller than the sum of its proper divisors (160636300).

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

117331400 is a wasteful number, since it uses less digits than its factorization.

117331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11138 (or 11129 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 117331400 is about 10831.9619644827. The cubic root of 117331400 is about 489.5586752432.

The spelling of 117331400 in words is "one hundred seventeen million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 11069 22138 44276 55345 88552 110690 221380 276725 442760 553450 586657 1106900 1173314 2213800 2346628 2933285 4693256 5866570 11733140 14666425 23466280 29332850 58665700 117331400