Search a number
-
+
117621504 = 28337111317
BaseRepresentation
bin1110000001011…
…00001100000000
322012022210101000
413000230030000
5220102342004
615401012000
72625523560
oct700541400
9265283330
10117621504
1160437860
1233484000
131b4a3430
141189ada0
15a4d5c39
hex702c300

117621504 has 576 divisors, whose sum is σ = 494484480. Its totient is φ = 26542080.

The previous prime is 117621461. The next prime is 117621523. The reversal of 117621504 is 405126711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6918904 + ... + 6918920.

It is an arithmetic number, because the mean of its divisors is an integer number (858480).

Almost surely, 2117621504 is an apocalyptic number.

117621504 is a gapful number since it is divisible by the number (14) 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 117621504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240).

117621504 is an abundant number, since it is smaller than the sum of its proper divisors (376862976).

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

117621504 is a wasteful number, since it uses less digits than its factorization.

117621504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 117621504 is about 10845.3448077966. The cubic root of 117621504 is about 489.9618240423.

The spelling of 117621504 in words is "one hundred seventeen million, six hundred twenty-one thousand, five hundred four".