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242437140 = 2232511122443
BaseRepresentation
bin11100111001101…
…00110000010100
3121220012002020100
432130310300110
5444030442030
640020134100
76002452551
oct1634646024
9556162210
10242437140
11114938680
1269237330
133b2c523a
14242aba28
151643d360
hexe734c14

242437140 has 72 divisors (see below), whose sum is σ = 802253088. Its totient is φ = 58772160.

The previous prime is 242437127. The next prime is 242437147. The reversal of 242437140 is 41734242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242437147) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 59242 + ... + 63201.

It is an arithmetic number, because the mean of its divisors is an integer number (11142404).

Almost surely, 2242437140 is an apocalyptic number.

242437140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242437140 is an abundant number, since it is smaller than the sum of its proper divisors (559815948).

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

242437140 is a wasteful number, since it uses less digits than its factorization.

242437140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122469 (or 122464 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 242437140 is about 15570.3930586225. The cubic root of 242437140 is about 623.5429653864.

The spelling of 242437140 in words is "two hundred forty-two million, four hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 122443 244886 367329 489772 612215 734658 1101987 1224430 1346873 1469316 1836645 2203974 2448860 2693746 3673290 4040619 4407948 5387492 5509935 6734365 7346580 8081238 11019870 12121857 13468730 16162476 20203095 22039740 24243714 26937460 40406190 48487428 60609285 80812380 121218570 242437140