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20838690 = 23252310067
BaseRepresentation
bin100111101111…
…1100100100010
31110012201022100
41033133210202
520313314230
62022351230
7342061125
oct117374442
943181270
1020838690
1110843464
126b8b516
1344180b2
142aa63bc
151c69660
hex13df922

20838690 has 48 divisors (see below), whose sum is σ = 56541888. Its totient is φ = 5314848.

The previous prime is 20838689. The next prime is 20838707. The reversal of 20838690 is 9683802.

It is a super-2 number, since 2×208386902 = 868502001832200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2964 + ... + 7103.

It is an arithmetic number, because the mean of its divisors is an integer number (1177956).

Almost surely, 220838690 is an apocalyptic number.

20838690 is an abundant number, since it is smaller than the sum of its proper divisors (35703198).

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

20838690 is a wasteful number, since it uses less digits than its factorization.

20838690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10103 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20838690 is about 4564.9414015954. The cubic root of 20838690 is about 275.1841851518.

It can be divided in two parts, 20838 and 690, that added together give a triangular number (21528 = T207).

The spelling of 20838690 in words is "twenty million, eight hundred thirty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 10067 20134 30201 50335 60402 90603 100670 151005 181206 231541 302010 453015 463082 694623 906030 1157705 1389246 2083869 2315410 3473115 4167738 6946230 10419345 20838690