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19339920 = 2432526861
BaseRepresentation
bin100100111000…
…1101010010000
31100101120101100
41021301222100
514422334140
61530304400
7323246415
oct111615220
940346340
1019339920
11aa0a406
126588100
134011b52
1427d610c
151a70530
hex1271a90

19339920 has 60 divisors (see below), whose sum is σ = 64952316. Its totient is φ = 5157120.

The previous prime is 19339909. The next prime is 19339933. The reversal of 19339920 is 2993391.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 16353936 = 1728^2 + 4044^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12711 + ... + 14150.

Almost surely, 219339920 is an apocalyptic number.

19339920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19339920 is an abundant number, since it is smaller than the sum of its proper divisors (45612396).

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

19339920 is a wasteful number, since it uses less digits than its factorization.

19339920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26880 (or 26871 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 19339920 is about 4397.7175898413. The cubic root of 19339920 is about 268.4220719927.

The spelling of 19339920 in words is "nineteen million, three hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 26861 53722 80583 107444 134305 161166 214888 241749 268610 322332 402915 429776 483498 537220 644664 805830 966996 1074440 1208745 1289328 1611660 1933992 2148880 2417490 3223320 3867984 4834980 6446640 9669960 19339920