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242040040 = 235112323917
BaseRepresentation
bin11100110110100…
…11110011101000
3121212102220111221
432123103303220
5443430240130
640003431424
75666210044
oct1633236350
9555386457
10242040040
111146972a0
1269085574
133b1b6578
1424207024
15163b087a
hexe6d3ce8

242040040 has 64 divisors (see below), whose sum is σ = 619954560. Its totient is φ = 84184320.

The previous prime is 242040037. The next prime is 242040089. The reversal of 242040040 is 40040242.

It is a junction number, because it is equal to n+sod(n) for n = 242039996 and 242040023.

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, 1839 + ... + 22078.

It is an arithmetic number, because the mean of its divisors is an integer number (9686790).

Almost surely, 2242040040 is an apocalyptic number.

242040040 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 242040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309977280).

242040040 is an abundant number, since it is smaller than the sum of its proper divisors (377914520).

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

242040040 is a wasteful number, since it uses less digits than its factorization.

242040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23962 (or 23958 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 242040040 is about 15557.6360672179. The cubic root of 242040040 is about 623.2023351993.

Adding to 242040040 its reverse (40040242), we get a palindrome (282080282).

The spelling of 242040040 in words is "two hundred forty-two million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 23917 47834 95668 119585 191336 239170 263087 478340 526174 550091 956680 1052348 1100182 1315435 2104696 2200364 2630870 2750455 4400728 5261740 5500910 6051001 10523480 11001820 12102002 22003640 24204004 30255005 48408008 60510010 121020020 242040040