Search a number
-
+
117009552 = 243111671327
BaseRepresentation
bin1101111100101…
…10110010010000
322011011200221010
412332112302100
5214423301202
615335530520
72620364502
oct676266220
9264150833
10117009552
116005a010
1233229a40
131b31aa2a
141177bd72
15a41476c
hex6f96c90

117009552 has 80 divisors (see below), whose sum is σ = 331978752. Its totient is φ = 35218560.

The previous prime is 117009539. The next prime is 117009553. The reversal of 117009552 is 255900711.

It is not an unprimeable number, because it can be changed into a prime (117009553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87513 + ... + 88839.

Almost surely, 2117009552 is an apocalyptic number.

117009552 is a gapful number since it is divisible by the number (12) 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 117009552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165989376).

117009552 is an abundant number, since it is smaller than the sum of its proper divisors (214969200).

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

117009552 is a wasteful number, since it uses less digits than its factorization.

117009552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 117009552 is about 10817.0953587366. The cubic root of 117009552 is about 489.1106344244.

The spelling of 117009552 in words is "one hundred seventeen million, nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 167 176 264 334 501 528 668 1002 1327 1336 1837 2004 2654 2672 3674 3981 4008 5308 5511 7348 7962 8016 10616 11022 14597 14696 15924 21232 22044 29194 29392 31848 43791 44088 58388 63696 87582 88176 116776 175164 221609 233552 350328 443218 664827 700656 886436 1329654 1772872 2437699 2659308 3545744 4875398 5318616 7313097 9750796 10637232 14626194 19501592 29252388 39003184 58504776 117009552