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242540460 = 22335449149
BaseRepresentation
bin11100111010011…
…01111110101100
3121220101022222000
432131031332230
5444042243320
640022252300
76003363021
oct1635157654
9556338860
10242540460
111149a9268
1269287090
133b330286
14242d7548
151645dc90
hexe74dfac

242540460 has 48 divisors (see below), whose sum is σ = 754572000. Its totient is φ = 64677312.

The previous prime is 242540443. The next prime is 242540477. The reversal of 242540460 is 64045242.

It is an interprime number because it is at equal distance from previous prime (242540443) and next prime (242540477).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224035 + ... + 225114.

It is an arithmetic number, because the mean of its divisors is an integer number (15720250).

Almost surely, 2242540460 is an apocalyptic number.

242540460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242540460 is an abundant number, since it is smaller than the sum of its proper divisors (512031540).

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

242540460 is a wasteful number, since it uses less digits than its factorization.

242540460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449167 (or 449159 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 242540460 is about 15573.7105405231. The cubic root of 242540460 is about 623.6315317249.

The spelling of 242540460 in words is "two hundred forty-two million, five hundred forty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 449149 898298 1347447 1796596 2245745 2694894 4042341 4491490 5389788 6737235 8084682 8982980 12127023 13474470 16169364 20211705 24254046 26948940 40423410 48508092 60635115 80846820 121270230 242540460