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20393040 = 2435312741
BaseRepresentation
bin100110111001…
…0110001010000
31102101001222210
41031302301100
520210034130
62005032120
7335223633
oct115626120
942331883
1020393040
1110569658
1269b5640
1342c02b5
1429cbc1a
151bcc5b0
hex1372c50

20393040 has 80 divisors (see below), whose sum is σ = 65281536. Its totient is φ = 5260800.

The previous prime is 20393039. The next prime is 20393041. The reversal of 20393040 is 4039302.

It is an interprime number because it is at equal distance from previous prime (20393039) and next prime (20393041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 20392998 and 20393016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20393041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6070 + ... + 8810.

Almost surely, 220393040 is an apocalyptic number.

20393040 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 20393040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32640768).

20393040 is an abundant number, since it is smaller than the sum of its proper divisors (44888496).

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

20393040 is a wasteful number, since it uses less digits than its factorization.

20393040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 20393040 is about 4515.8653655750. The cubic root of 20393040 is about 273.2083637854.

The spelling of 20393040 in words is "twenty million, three hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 2741 3720 5482 7440 8223 10964 13705 16446 21928 27410 32892 41115 43856 54820 65784 82230 84971 109640 131568 164460 169942 219280 254913 328920 339884 424855 509826 657840 679768 849710 1019652 1274565 1359536 1699420 2039304 2549130 3398840 4078608 5098260 6797680 10196520 20393040