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242630020 = 22589136309
BaseRepresentation
bin11100111011000…
…11110110000100
3121220112212211001
432131203312010
5444103130040
640024223044
76004215103
oct1635436604
9556485731
10242630020
11114a5a586
126930aa84
133b361c79
142431c03a
151647a59a
hexe763d84

242630020 has 24 divisors (see below), whose sum is σ = 515251800. Its totient is φ = 95960832.

The previous prime is 242629997. The next prime is 242630023. The reversal of 242630020 is 20036242.

It can be written as a sum of positive squares in 4 ways, for example, as 2256004 + 240374016 = 1502^2 + 15504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242630020.

It is not an unprimeable number, because it can be changed into a prime (242630023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66375 + ... + 69934.

It is an arithmetic number, because the mean of its divisors is an integer number (21468825).

Almost surely, 2242630020 is an apocalyptic number.

242630020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242630020 is an abundant number, since it is smaller than the sum of its proper divisors (272621780).

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

242630020 is a wasteful number, since it uses less digits than its factorization.

242630020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136407 (or 136405 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 242630020 is about 15576.5856335719. The cubic root of 242630020 is about 623.7082825850.

Adding to 242630020 its reverse (20036242), we get a palindrome (262666262).

The spelling of 242630020 in words is "two hundred forty-two million, six hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 136309 272618 545236 681545 1363090 2726180 12131501 24263002 48526004 60657505 121315010 242630020