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242464260 = 223534911579
BaseRepresentation
bin11100111001110…
…11011000000100
3121220020110102210
432130323120010
5444032324020
640020503420
76002624613
oct1634733004
9556213383
10242464260
11114956a95
126924ab70
133b30469c
14242b787a
15164463e0
hexe73b604

242464260 has 48 divisors (see below), whose sum is σ = 680904000. Its totient is φ = 64466304.

The previous prime is 242464253. The next prime is 242464267. The reversal of 242464260 is 62464242.

242464260 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242464253) and next prime (242464267).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (242464267) 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, 15151 + ... + 26729.

It is an arithmetic number, because the mean of its divisors is an integer number (14185500).

Almost surely, 2242464260 is an apocalyptic number.

242464260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242464260 is an abundant number, since it is smaller than the sum of its proper divisors (438439740).

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

242464260 is a wasteful number, since it uses less digits than its factorization.

242464260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11940 (or 11938 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 242464260 is about 15571.2639178713. The cubic root of 242464260 is about 623.5662151997.

The spelling of 242464260 in words is "two hundred forty-two million, four hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 349 698 1047 1396 1745 2094 3490 4188 5235 6980 10470 11579 20940 23158 34737 46316 57895 69474 115790 138948 173685 231580 347370 694740 4041071 8082142 12123213 16164284 20205355 24246426 40410710 48492852 60616065 80821420 121232130 242464260