Search a number
-
+
117049440 = 25354353107
BaseRepresentation
bin1101111101000…
…00100001100000
322011020201122110
412332200201200
5214431040230
615340435320
72620622004
oct676404140
9264221573
10117049440
1160086a82
1233248b40
131b332c31
141178c704
15a4214b0
hex6fa0860

117049440 has 192 divisors, whose sum is σ = 387991296. Its totient is φ = 29632512.

The previous prime is 117049421. The next prime is 117049447. The reversal of 117049440 is 44940711.

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 = 117049398 and 117049407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117049447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093867 + ... + 1093973.

It is an arithmetic number, because the mean of its divisors is an integer number (2020788).

Almost surely, 2117049440 is an apocalyptic number.

117049440 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 117049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193995648).

117049440 is an abundant number, since it is smaller than the sum of its proper divisors (270941856).

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

117049440 is a wasteful number, since it uses less digits than its factorization.

117049440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 117049440 is about 10818.9389498231. The cubic root of 117049440 is about 489.1662066068.

The spelling of 117049440 in words is "one hundred seventeen million, forty-nine thousand, four hundred forty".