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242361140 = 22574736833
BaseRepresentation
bin11100111001000…
…10001100110100
3121220001012222112
432130202030310
5444021024030
640014350152
76002015150
oct1634421464
9556035875
10242361140
1111489656a
12691bb358
133b299778
142428c060
1516425a95
hexe722334

242361140 has 48 divisors (see below), whose sum is σ = 594058752. Its totient is φ = 81325056.

The previous prime is 242361107. The next prime is 242361181. The reversal of 242361140 is 41163242.

It is a congruent number.

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, 11837 + ... + 24996.

It is an arithmetic number, because the mean of its divisors is an integer number (12376224).

Almost surely, 2242361140 is an apocalyptic number.

242361140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242361140 is an abundant number, since it is smaller than the sum of its proper divisors (351697612).

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

242361140 is a wasteful number, since it uses less digits than its factorization.

242361140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36896 (or 36894 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 242361140 is about 15567.9523380565. The cubic root of 242361140 is about 623.4778018033.

The spelling of 242361140 in words is "two hundred forty-two million, three hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 6580 36833 73666 147332 184165 257831 368330 515662 736660 1031324 1289155 1731151 2578310 3462302 5156620 6924604 8655755 12118057 17311510 24236114 34623020 48472228 60590285 121180570 242361140