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20694120 = 2335331521
BaseRepresentation
bin100111011110…
…0010001101000
31102221100222220
41032330101220
520244202440
62015314040
7340616466
oct116742150
942840886
1020694120
1110754887
126b1b920
134397355
142a69836
151c3b8d0
hex13bc468

20694120 has 64 divisors (see below), whose sum is σ = 62389440. Its totient is φ = 5491200.

The previous prime is 20694119. The next prime is 20694127. The reversal of 20694120 is 2149602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20694127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39460 + ... + 39980.

It is an arithmetic number, because the mean of its divisors is an integer number (974835).

Almost surely, 220694120 is an apocalyptic number.

20694120 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 20694120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31194720).

20694120 is an abundant number, since it is smaller than the sum of its proper divisors (41695320).

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

20694120 is a wasteful number, since it uses less digits than its factorization.

20694120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20694120 is about 4549.0790276714. The cubic root of 20694120 is about 274.5463374119.

The spelling of 20694120 in words is "twenty million, six hundred ninety-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 521 662 993 1042 1324 1563 1655 1986 2084 2605 2648 3126 3310 3972 4168 4965 5210 6252 6620 7815 7944 9930 10420 12504 13240 15630 19860 20840 31260 39720 62520 172451 344902 517353 689804 862255 1034706 1379608 1724510 2069412 2586765 3449020 4138824 5173530 6898040 10347060 20694120