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117248040 = 233357131193
BaseRepresentation
bin1101111110100…
…01000000101000
322011121211002000
412333101000220
5220003414130
615345011000
72622410010
oct677210050
9264554060
10117248040
1160202208
1233323a60
131b3a2450
1411800c40
15a460260
hex6fd1028

117248040 has 256 divisors, whose sum is σ = 481420800. Its totient is φ = 24717312.

The previous prime is 117248023. The next prime is 117248063. The reversal of 117248040 is 40842711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 117247995 and 117248013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97684 + ... + 98876.

It is an arithmetic number, because the mean of its divisors is an integer number (1880550).

Almost surely, 2117248040 is an apocalyptic number.

117248040 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 117248040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240710400).

117248040 is an abundant number, since it is smaller than the sum of its proper divisors (364172760).

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

117248040 is a wasteful number, since it uses less digits than its factorization.

117248040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 117248040 is about 10828.1134090847. The cubic root of 117248040 is about 489.4427094699.

The spelling of 117248040 in words is "one hundred seventeen million, two hundred forty-eight thousand, forty".