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242474560 = 2653124443
BaseRepresentation
bin11100111001111…
…01111001000000
3121220020222120021
432130331321000
5444033141220
640021023224
76002666626
oct1634757100
9556228507
10242474560
111149637a9
1269254b14
133b309293
14242bb516
15164494aa
hexe73de40

242474560 has 56 divisors (see below), whose sum is σ = 596042496. Its totient is φ = 93857280.

The previous prime is 242474543. The next prime is 242474563. The reversal of 242474560 is 65474242.

It is not an unprimeable number, because it can be changed into a prime (242474563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2302 + ... + 22141.

It is an arithmetic number, because the mean of its divisors is an integer number (10643616).

Almost surely, 2242474560 is an apocalyptic number.

242474560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242474560 is an abundant number, since it is smaller than the sum of its proper divisors (353567936).

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

242474560 is a wasteful number, since it uses less digits than its factorization.

242474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24491 (or 24481 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 242474560 is about 15571.5946518011. The cubic root of 242474560 is about 623.5750448736.

The spelling of 242474560 in words is "two hundred forty-two million, four hundred seventy-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 24443 48886 97772 122215 195544 244430 391088 488860 757733 782176 977720 1515466 1564352 1955440 3030932 3788665 3910880 6061864 7577330 7821760 12123728 15154660 24247456 30309320 48494912 60618640 121237280 242474560