Search a number
-
+
117271242 = 232111394261
BaseRepresentation
bin1101111110101…
…10101011001010
322011122222220100
412333112223022
5220010134432
615345310230
72622534444
oct677265312
9264588810
10117271242
1160218690
1233335376
131b3acb8a
1411809494
15a46707c
hex6fd6aca

117271242 has 48 divisors (see below), whose sum is σ = 279246240. Its totient is φ = 35272800.

The previous prime is 117271229. The next prime is 117271243. The reversal of 117271242 is 242172711.

It is a happy number.

It is a super-3 number, since 3×1172712423 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (117271243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25392 + ... + 29652.

It is an arithmetic number, because the mean of its divisors is an integer number (5817630).

Almost surely, 2117271242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117271242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139623120).

117271242 is an abundant number, since it is smaller than the sum of its proper divisors (161974998).

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

117271242 is a wasteful number, since it uses less digits than its factorization.

117271242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4416 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 117271242 is about 10829.1847338569. The cubic root of 117271242 is about 489.4749923144.

The spelling of 117271242 in words is "one hundred seventeen million, two hundred seventy-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 139 198 278 417 834 1251 1529 2502 3058 4261 4587 8522 9174 12783 13761 25566 27522 38349 46871 76698 93742 140613 281226 421839 592279 843678 1184558 1776837 3553674 5330511 6515069 10661022 13030138 19545207 39090414 58635621 117271242