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242991720 = 23325674977
BaseRepresentation
bin11100111101111…
…00001001101000
3121221020020222100
432132330021220
5444201213340
640040053400
76010252446
oct1636741150
9557206870
10242991720
11115187304
1269464260
133b45a7aa
14243b3b96
15164ec830
hexe7bc268

242991720 has 48 divisors (see below), whose sum is σ = 789724260. Its totient is φ = 64797696.

The previous prime is 242991719. The next prime is 242991787. The reversal of 242991720 is 27199242.

It can be written as a sum of positive squares in 2 ways, for example, as 239816196 + 3175524 = 15486^2 + 1782^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337129 + ... + 337848.

Almost surely, 2242991720 is an apocalyptic number.

242991720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242991720 is an abundant number, since it is smaller than the sum of its proper divisors (546732540).

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

242991720 is a wasteful number, since it uses less digits than its factorization.

242991720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674994 (or 674987 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 242991720 is about 15588.1916847337. The cubic root of 242991720 is about 624.0180591420.

It can be divided in two parts, 2429 and 91720, that added together give a palindrome (94149).

The spelling of 242991720 in words is "two hundred forty-two million, nine hundred ninety-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 674977 1349954 2024931 2699908 3374885 4049862 5399816 6074793 6749770 8099724 10124655 12149586 13499540 16199448 20249310 24299172 26999080 30373965 40498620 48598344 60747930 80997240 121495860 242991720