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242067360 = 2535504307
BaseRepresentation
bin11100110110110…
…10011110100000
3121212111021222210
432123122132200
5443432123420
640004202120
75666352513
oct1633323640
9555437883
10242067360
11114705877
1269099340
133b1c5b32
1424212d7a
15163b89e0
hexe6da7a0

242067360 has 48 divisors (see below), whose sum is σ = 762513696. Its totient is φ = 64551168.

The previous prime is 242067349. The next prime is 242067361. The reversal of 242067360 is 63760242.

It is a tau number, because it is divible by the number of its divisors (48).

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 (242067361) 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, 251674 + ... + 252633.

It is an arithmetic number, because the mean of its divisors is an integer number (15885702).

Almost surely, 2242067360 is an apocalyptic number.

242067360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242067360 is an abundant number, since it is smaller than the sum of its proper divisors (520446336).

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

242067360 is a wasteful number, since it uses less digits than its factorization.

242067360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504325 (or 504317 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 242067360 is about 15558.5140678665. The cubic root of 242067360 is about 623.2257820737.

The spelling of 242067360 in words is "two hundred forty-two million, sixty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 504307 1008614 1512921 2017228 2521535 3025842 4034456 5043070 6051684 7564605 8068912 10086140 12103368 15129210 16137824 20172280 24206736 30258420 40344560 48413472 60516840 80689120 121033680 242067360