Search a number
-
+
117373440 = 2935172931
BaseRepresentation
bin1101111111011…
…11101000000000
322011212012002110
412333233220000
5220021422230
615351415320
72623441422
oct677575000
9264765073
10117373440
1160288448
1233384540
131b417552
1411834812
15a4874b0
hex6fefa00

117373440 has 320 divisors, whose sum is σ = 424258560. Its totient is φ = 27525120.

The previous prime is 117373433. The next prime is 117373441. The reversal of 117373440 is 44373711.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 117373398 and 117373407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117373441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3786225 + ... + 3786255.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2117373440 is an apocalyptic number.

117373440 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 117373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

117373440 is an abundant number, since it is smaller than the sum of its proper divisors (306885120).

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

117373440 is a wasteful number, since it uses less digits than its factorization.

117373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 117373440 is about 10833.9023440310. The cubic root of 117373440 is about 489.6171381074.

The spelling of 117373440 in words is "one hundred seventeen million, three hundred seventy-three thousand, four hundred forty".