Search a number
-
+
117357152 = 25111013301
BaseRepresentation
bin1101111111010…
…11101001100000
322011211100202012
412333223221200
5220020412102
615351212052
72623343063
oct677535140
9264740665
10117357152
1160277190
1233377028
131b410003
141182c8da
15a482752
hex6feba60

117357152 has 48 divisors (see below), whose sum is σ = 254623824. Its totient is φ = 52800000.

The previous prime is 117357131. The next prime is 117357157. The reversal of 117357152 is 251753711.

It is a super-2 number, since 2×1173571522 = 27545402251102208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117357157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33902 + ... + 37202.

It is an arithmetic number, because the mean of its divisors is an integer number (5304663).

Almost surely, 2117357152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117357152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127311912).

117357152 is an abundant number, since it is smaller than the sum of its proper divisors (137266672).

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

117357152 is a wasteful number, since it uses less digits than its factorization.

117357152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3415 counting only the distinct ones).

The product of its digits is 7350, while the sum is 32.

The square root of 117357152 is about 10833.1506035871. The cubic root of 117357152 is about 489.5944888810.

The spelling of 117357152 in words is "one hundred seventeen million, three hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 808 1111 1616 2222 3232 3301 4444 6602 8888 13204 17776 26408 35552 36311 52816 72622 105632 145244 290488 333401 580976 666802 1161952 1333604 2667208 3667411 5334416 7334822 10668832 14669644 29339288 58678576 117357152