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20788920 = 2333519249
BaseRepresentation
bin100111101001…
…1011010111000
31110010012001000
41033103122320
520310221140
62021325000
7341463045
oct117233270
943105030
1020788920
111080a029
126b66760
1343cb549
142a921cc
151c59a30
hex13d36b8

20788920 has 64 divisors (see below), whose sum is σ = 69300000. Its totient is φ = 5543424.

The previous prime is 20788919. The next prime is 20788921. The reversal of 20788920 is 2988702.

It is an interprime number because it is at equal distance from previous prime (20788919) and next prime (20788921).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20788921) 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, 8545 + ... + 10704.

Almost surely, 220788920 is an apocalyptic number.

20788920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20788920 is an abundant number, since it is smaller than the sum of its proper divisors (48511080).

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

20788920 is a wasteful number, since it uses less digits than its factorization.

20788920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19269 (or 19259 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 20788920 is about 4559.4868132280. The cubic root of 20788920 is about 274.9649321675.

The spelling of 20788920 in words is "twenty million, seven hundred eighty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 19249 38498 57747 76996 96245 115494 153992 173241 192490 230988 288735 346482 384980 461976 519723 577470 692964 769960 866205 1039446 1154940 1385928 1732410 2078892 2309880 2598615 3464820 4157784 5197230 6929640 10394460 20788920