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240002420420 = 22572244900429
BaseRepresentation
bin1101111110000101000…
…0100100111011000100
3211221111011220012012002
43133201100210323010
512413011104423140
6302131112444432
723224324625300
oct3374120447304
9757434805162
10240002420420
119286a122794
123a6203a9718
131982aa3b329
14b88ab1cd00
15639a288415
hex37e1424ec4

240002420420 has 36 divisors (see below), whose sum is σ = 586291629420. Its totient is φ = 82286543808.

The previous prime is 240002420377. The next prime is 240002420431. The reversal of 240002420420 is 24024200042.

It can be written as a sum of positive squares in 2 ways, for example, as 79312077376 + 160690343044 = 281624^2 + 400862^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 240002420392 and 240002420401.

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, 122449235 + ... + 122451194.

It is an arithmetic number, because the mean of its divisors is an integer number (16285878595).

Almost surely, 2240002420420 is an apocalyptic number.

240002420420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240002420420 is an abundant number, since it is smaller than the sum of its proper divisors (346289209000).

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

240002420420 is a wasteful number, since it uses less digits than its factorization.

240002420420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244900452 (or 244900443 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 240002420420 its reverse (24024200042), we get a palindrome (264026620462).

The spelling of 240002420420 in words is "two hundred forty billion, two million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 244900429 489800858 979601716 1224502145 1714303003 2449004290 3428606006 4898008580 6857212012 8571515015 12000121021 17143030030 24000242042 34286060060 48000484084 60000605105 120001210210 240002420420