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242971280 = 24529104729
BaseRepresentation
bin11100111101101…
…11001010010000
3121221012012221022
432132313022100
5444200040110
640035415012
76010136036
oct1636671220
9557165838
10242971280
11115172a12
1269454468
133b4513b6
14243aa556
15164e6755
hexe7b7290

242971280 has 40 divisors (see below), whose sum is σ = 584393400. Its totient is φ = 93836288.

The previous prime is 242971277. The next prime is 242971303. The reversal of 242971280 is 82179242.

It can be written as a sum of positive squares in 4 ways, for example, as 92467456 + 150503824 = 9616^2 + 12268^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 242971280.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50045 + ... + 54684.

It is an arithmetic number, because the mean of its divisors is an integer number (14609835).

Almost surely, 2242971280 is an apocalyptic number.

242971280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242971280 is an abundant number, since it is smaller than the sum of its proper divisors (341422120).

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

242971280 is a wasteful number, since it uses less digits than its factorization.

242971280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104771 (or 104765 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 242971280 is about 15587.5360464699. The cubic root of 242971280 is about 624.0005615818. Note that the first 3 decimals are identical.

The spelling of 242971280 in words is "two hundred forty-two million, nine hundred seventy-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 104729 209458 418916 523645 837832 1047290 1675664 2094580 3037141 4189160 6074282 8378320 12148564 15185705 24297128 30371410 48594256 60742820 121485640 242971280