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20931000 = 233536977
BaseRepresentation
bin100111111011…
…0000110111000
31110101101221020
41033312012320
520324243000
62024342440
7342624216
oct117660670
943341836
1020931000
11108a6852
127014a20
13444b10c
142acbcb6
151c86ba0
hex13f61b8

20931000 has 64 divisors (see below), whose sum is σ = 65314080. Its totient is φ = 5580800.

The previous prime is 20930999. The next prime is 20931047. The reversal of 20931000 is 13902.

It is a super-2 number, since 2×209310002 = 876213522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489 + ... + 6488.

Almost surely, 220931000 is an apocalyptic number.

20931000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20931000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32657040).

20931000 is an abundant number, since it is smaller than the sum of its proper divisors (44383080).

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

20931000 is a wasteful number, since it uses less digits than its factorization.

20931000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7001 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 20931000 is about 4575.0409834230. The cubic root of 20931000 is about 275.5899182009.

Adding to 20931000 its reverse (13902), we get a palindrome (20944902).

The spelling of 20931000 in words is "twenty million, nine hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 6977 13954 20931 27908 34885 41862 55816 69770 83724 104655 139540 167448 174425 209310 279080 348850 418620 523275 697700 837240 872125 1046550 1395400 1744250 2093100 2616375 3488500 4186200 5232750 6977000 10465500 20931000