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242359360 = 265799587
BaseRepresentation
bin11100111001000…
…01110001000000
3121220001010112121
432130201301000
5444020444420
640014334024
76002010025
oct1634416100
9556033477
10242359360
111148951a1
12691ba314
133b298a09
142428b54c
15164252aa
hexe721c40

242359360 has 56 divisors (see below), whose sum is σ = 584484480. Its totient is φ = 95706624.

The previous prime is 242359357. The next prime is 242359391. The reversal of 242359360 is 63953242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20487 + ... + 30073.

Almost surely, 2242359360 is an apocalyptic number.

242359360 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 242359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292242240).

242359360 is an abundant number, since it is smaller than the sum of its proper divisors (342125120).

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

242359360 is an equidigital number, since it uses as much as digits as its factorization.

242359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9683 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 242359360 is about 15567.8951692257. The cubic root of 242359360 is about 623.4762754404.

It can be divided in two parts, 2423 and 59360, that multiplied together give a triangular number (143829280 = T16960).

The spelling of 242359360 in words is "two hundred forty-two million, three hundred fifty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 316 320 395 632 790 1264 1580 2528 3160 5056 6320 9587 12640 19174 25280 38348 47935 76696 95870 153392 191740 306784 383480 613568 757373 766960 1514746 1533920 3029492 3067840 3786865 6058984 7573730 12117968 15147460 24235936 30294920 48471872 60589840 121179680 242359360