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242137740 = 223513310433
BaseRepresentation
bin11100110111010…
…11101010001100
3121212121212112110
432123223222030
5443441401430
640005504020
76000064635
oct1633535214
9555555473
10242137740
11114753739
1269112010
133b21bb90
142423088c
15163ce7b0
hexe6eba8c

242137740 has 48 divisors (see below), whose sum is σ = 730140768. Its totient is φ = 59602944.

The previous prime is 242137699. The next prime is 242137741. The reversal of 242137740 is 47731242.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242137698 and 242137707.

It is not an unprimeable number, because it can be changed into a prime (242137741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154437 + ... + 155996.

It is an arithmetic number, because the mean of its divisors is an integer number (15211266).

Almost surely, 2242137740 is an apocalyptic number.

242137740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242137740 is an abundant number, since it is smaller than the sum of its proper divisors (488003028).

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

242137740 is a wasteful number, since it uses less digits than its factorization.

242137740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310458 (or 310456 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 242137740 is about 15560.7756876063. The cubic root of 242137740 is about 623.2861762553.

Adding to 242137740 its reverse (47731242), we get a palindrome (289868982).

The spelling of 242137740 in words is "two hundred forty-two million, one hundred thirty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 310433 620866 931299 1241732 1552165 1862598 3104330 3725196 4035629 4656495 6208660 8071258 9312990 12106887 16142516 18625980 20178145 24213774 40356290 48427548 60534435 80712580 121068870 242137740