Search a number
-
+
117324480 = 26357131779
BaseRepresentation
bin1101111111000…
…11101011000000
322011202200221010
412333203223000
5220013340410
615350400520
72623145610
oct677435300
9264680833
10117324480
1160254689
1233360140
131b3cb190
1411820a40
15a477c20
hex6fe3ac0

117324480 has 448 divisors, whose sum is σ = 491581440. Its totient is φ = 23003136.

The previous prime is 117324469. The next prime is 117324481. The reversal of 117324480 is 84423711.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (117324481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1485081 + ... + 1485159.

It is an arithmetic number, because the mean of its divisors is an integer number (1097280).

Almost surely, 2117324480 is an apocalyptic number.

117324480 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 117324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245790720).

117324480 is an abundant number, since it is smaller than the sum of its proper divisors (374256960).

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

117324480 is a wasteful number, since it uses less digits than its factorization.

117324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 117324480 is about 10831.6425347221. The cubic root of 117324480 is about 489.5490506169.

The spelling of 117324480 in words is "one hundred seventeen million, three hundred twenty-four thousand, four hundred eighty".