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420270844 = 2272312632
BaseRepresentation
bin11001000011001…
…101001011111100
31002021210222012211
4121003031023330
51330042131334
6105411510204
713262146300
oct3103151374
91067728184
10420270844
111a6260784
12b88b8364
13690bb096
143db5dd00
1526d69a64
hex190cd2fc

420270844 has 54 divisors (see below), whose sum is σ = 886520544. Its totient is φ = 173643120.

The previous prime is 420270839. The next prime is 420270853. The reversal of 420270844 is 448072024.

420270844 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1597857 + ... + 1598119.

Almost surely, 2420270844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420270844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443260272).

420270844 is an abundant number, since it is smaller than the sum of its proper divisors (466249700).

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

420270844 is a wasteful number, since it uses less digits than its factorization.

420270844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The square root of 420270844 is about 20500.5083839401. The cubic root of 420270844 is about 749.0481816037.

Multiplying 420270844 by its sum of digits (31), we get a square (13028396164 = 1141422).

420270844 divided by its sum of digits (31) gives a square (13557124 = 36822).

The spelling of 420270844 in words is "four hundred twenty million, two hundred seventy thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 263 434 526 868 1052 1519 1841 3038 3682 6076 7364 8153 12887 16306 25774 32612 51548 57071 69169 114142 138338 228284 276676 399497 484183 798994 968366 1597988 1936732 2144239 3389281 4288478 6778562 8576956 13557124 15009673 30019346 60038692 105067711 210135422 420270844