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242477160 = 233513914537
BaseRepresentation
bin11100111001111…
…10100001101000
3121220021010010120
432130332201220
5444033232120
640021043240
76003010332
oct1634764150
9556233116
10242477160
11114965752
1269256520
133b30a513
14242bc452
151644a140
hexe73e868

242477160 has 64 divisors (see below), whose sum is σ = 732715200. Its totient is φ = 64190976.

The previous prime is 242477119. The next prime is 242477161. The reversal of 242477160 is 61774242.

It is not an unprimeable number, because it can be changed into a prime (242477161) 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, 9412 + ... + 23948.

It is an arithmetic number, because the mean of its divisors is an integer number (11448675).

Almost surely, 2242477160 is an apocalyptic number.

242477160 is a gapful number since it is divisible by the number (20) 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 242477160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366357600).

242477160 is an abundant number, since it is smaller than the sum of its proper divisors (490238040).

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

242477160 is a wasteful number, since it uses less digits than its factorization.

242477160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14690 (or 14686 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 242477160 is about 15571.6781369254. The cubic root of 242477160 is about 623.5772736838.

The spelling of 242477160 in words is "two hundred forty-two million, four hundred seventy-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 14537 16680 29074 43611 58148 72685 87222 116296 145370 174444 218055 290740 348888 436110 581480 872220 1744440 2020643 4041286 6061929 8082572 10103215 12123858 16165144 20206430 24247716 30309645 40412860 48495432 60619290 80825720 121238580 242477160