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241998240 = 25351145833
BaseRepresentation
bin11100110110010…
…01100110100000
3121212100210011210
432123021212200
5443422420430
640002510120
75665644141
oct1633114640
9555323153
10241998240
11114668950
1269065340
133b1a0533
14241d5ac8
15163a32b0
hexe6c99a0

241998240 has 96 divisors (see below), whose sum is σ = 831612096. Its totient is φ = 58664960.

The previous prime is 241998233. The next prime is 241998259. The reversal of 241998240 is 42899142.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17637 + ... + 28196.

It is an arithmetic number, because the mean of its divisors is an integer number (8662626).

Almost surely, 2241998240 is an apocalyptic number.

241998240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241998240 is an abundant number, since it is smaller than the sum of its proper divisors (589613856).

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

241998240 is a wasteful number, since it uses less digits than its factorization.

241998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45862 (or 45854 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 241998240 is about 15556.2926174587. The cubic root of 241998240 is about 623.1664577231.

The spelling of 241998240 in words is "two hundred forty-one million, nine hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 45833 91666 137499 183332 229165 274998 366664 458330 504163 549996 687495 733328 916660 1008326 1099992 1374990 1466656 1512489 1833320 2016652 2199984 2520815 2749980 3024978 3666640 4033304 4399968 5041630 5499960 6049956 7333280 7562445 8066608 10083260 10999920 12099912 15124890 16133216 20166520 21999840 24199824 30249780 40333040 48399648 60499560 80666080 120999120 241998240