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117172440 = 233357111409
BaseRepresentation
bin1101111101111…
…10100011011000
322011110222101000
412332332203120
5214444004230
615343225000
72621643420
oct676764330
9264428330
10117172440
1160160430
12332a8160
131b376c08
14117c1480
15a447b60
hex6fbe8d8

117172440 has 256 divisors, whose sum is σ = 487296000. Its totient is φ = 24330240.

The previous prime is 117172427. The next prime is 117172459. The reversal of 117172440 is 44271711.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 82456 + ... + 83864.

It is an arithmetic number, because the mean of its divisors is an integer number (1903500).

Almost surely, 2117172440 is an apocalyptic number.

117172440 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 117172440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243648000).

117172440 is an abundant number, since it is smaller than the sum of its proper divisors (370123560).

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

117172440 is a wasteful number, since it uses less digits than its factorization.

117172440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 117172440 is about 10824.6219333518. The cubic root of 117172440 is about 489.3374914368.

The spelling of 117172440 in words is "one hundred seventeen million, one hundred seventy-two thousand, four hundred forty".