Search a number
-
+
117630240 = 25357132693
BaseRepresentation
bin1110000001011…
…10010100100000
322012100020100120
413000232110200
5220103131430
615401120240
72625561210
oct700562440
9265306316
10117630240
1160443382
1233489080
131b4a73c0
14118a0240
15a4d8610
hex702e520

117630240 has 192 divisors, whose sum is σ = 456212736. Its totient is φ = 24809472.

The previous prime is 117630221. The next prime is 117630269. The reversal of 117630240 is 42036711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 117630240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42334 + ... + 45026.

It is an arithmetic number, because the mean of its divisors is an integer number (2376108).

Almost surely, 2117630240 is an apocalyptic number.

117630240 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 117630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228106368).

117630240 is an abundant number, since it is smaller than the sum of its proper divisors (338582496).

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

117630240 is a wasteful number, since it uses less digits than its factorization.

117630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 117630240 is about 10845.7475537650. The cubic root of 117630240 is about 489.9739539119.

Adding to 117630240 its reverse (42036711), we get a palindrome (159666951).

The spelling of 117630240 in words is "one hundred seventeen million, six hundred thirty thousand, two hundred forty".