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117794040 = 233572132367
BaseRepresentation
bin1110000010101…
…10010011111000
322012122120001020
413001112103320
5220123402130
615404422440
72630142600
oct701262370
9265576036
10117794040
1160545451
1233547a20
131b533b20
1411903c00
15a51be10
hex70564f8

117794040 has 384 divisors, whose sum is σ = 468840960. Its totient is φ = 23417856.

The previous prime is 117794029. The next prime is 117794057. The reversal of 117794040 is 40497711.

It is a super-3 number, since 3×1177940403 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 117793992 and 117794010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1758087 + ... + 1758153.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 2117794040 is an apocalyptic number.

117794040 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 117794040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

117794040 is an abundant number, since it is smaller than the sum of its proper divisors (351046920).

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

117794040 is a wasteful number, since it uses less digits than its factorization.

117794040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 117794040 is about 10853.2962734830. The cubic root of 117794040 is about 490.2012778538.

The spelling of 117794040 in words is "one hundred seventeen million, seven hundred ninety-four thousand, forty".