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242656040 = 235114113451
BaseRepresentation
bin11100111011010…
…10001100101000
3121220121012111202
432131222030220
5444104443130
640024543332
76004354004
oct1635521450
9556535452
10242656040
11114a78090
1269321b48
133b370a73
1424327704
1516483145
hexe76a328

242656040 has 64 divisors (see below), whose sum is σ = 610182720. Its totient is φ = 86080000.

The previous prime is 242656033. The next prime is 242656069. The reversal of 242656040 is 40656242.

242656040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242655994 and 242656012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11315 + ... + 24765.

It is an arithmetic number, because the mean of its divisors is an integer number (9534105).

Almost surely, 2242656040 is an apocalyptic number.

242656040 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 242656040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305091360).

242656040 is an abundant number, since it is smaller than the sum of its proper divisors (367526680).

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

242656040 is a wasteful number, since it uses less digits than its factorization.

242656040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13514 (or 13510 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 242656040 is about 15577.4208391505. The cubic root of 242656040 is about 623.7305775857.

The spelling of 242656040 in words is "two hundred forty-two million, six hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1640 1804 2255 3608 4510 9020 13451 18040 26902 53804 67255 107608 134510 147961 269020 295922 538040 551491 591844 739805 1102982 1183688 1479610 2205964 2757455 2959220 4411928 5514910 5918440 6066401 11029820 12132802 22059640 24265604 30332005 48531208 60664010 121328020 242656040