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213035620 = 22575328711
BaseRepresentation
bin11001011001010…
…10101001100100
3112211212022221011
430230222221210
5414014114440
633050032004
75164526050
oct1454525144
9484768834
10213035620
11aa2868a6
125b418604
133519c7a5
1420416c60
1513a819ea
hexcb2aa64

213035620 has 48 divisors (see below), whose sum is σ = 520950528. Its totient is φ = 71660160.

The previous prime is 213035617. The next prime is 213035633. The reversal of 213035620 is 26530312.

It is a junction number, because it is equal to n+sod(n) for n = 213035591 and 213035600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6936 + ... + 21775.

It is an arithmetic number, because the mean of its divisors is an integer number (10853136).

Almost surely, 2213035620 is an apocalyptic number.

213035620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213035620 is an abundant number, since it is smaller than the sum of its proper divisors (307914908).

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

213035620 is a wasteful number, since it uses less digits than its factorization.

213035620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28780 (or 28778 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 213035620 is about 14595.7397894043. The cubic root of 213035620 is about 597.2425505714.

Adding to 213035620 its reverse (26530312), we get a palindrome (239565932).

The spelling of 213035620 in words is "two hundred thirteen million, thirty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 7420 28711 57422 114844 143555 200977 287110 401954 574220 803908 1004885 1521683 2009770 3043366 4019540 6086732 7608415 10651781 15216830 21303562 30433660 42607124 53258905 106517810 213035620