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420238020 = 223528324749
BaseRepresentation
bin11001000011000…
…101001011000100
31002021202022012010
4121003011023010
51330040104040
6105411054220
713261651506
oct3103051304
91067668163
10420238020
111a6239054
12b88a1370
13690a9167
143db51d76
1526d5ee80
hex190c52c4

420238020 has 48 divisors (see below), whose sum is σ = 1180872000. Its totient is φ = 111662976.

The previous prime is 420238019. The next prime is 420238057. The reversal of 420238020 is 20832024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4606 + ... + 29354.

It is an arithmetic number, because the mean of its divisors is an integer number (24601500).

Almost surely, 2420238020 is an apocalyptic number.

It is an amenable number.

420238020 is an abundant number, since it is smaller than the sum of its proper divisors (760633980).

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

420238020 is a wasteful number, since it uses less digits than its factorization.

420238020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25044 (or 25042 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 420238020 is about 20499.7078027956. The cubic root of 420238020 is about 749.0286803717.

The spelling of 420238020 in words is "four hundred twenty million, two hundred thirty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 283 566 849 1132 1415 1698 2830 3396 4245 5660 8490 16980 24749 49498 74247 98996 123745 148494 247490 296988 371235 494980 742470 1484940 7003967 14007934 21011901 28015868 35019835 42023802 70039670 84047604 105059505 140079340 210119010 420238020