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20393670 = 23511292131
BaseRepresentation
bin100110111001…
…0111011000110
31102101002212010
41031302323012
520210044140
62005035050
7335225523
oct115627306
942332763
1020393670
111056a080
1269b5a86
1342c067b
1429cc14a
151bcc880
hex1372ec6

20393670 has 64 divisors (see below), whose sum is σ = 55261440. Its totient is φ = 4771200.

The previous prime is 20393651. The next prime is 20393677. The reversal of 20393670 is 7639302.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20393677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8505 + ... + 10635.

It is an arithmetic number, because the mean of its divisors is an integer number (863460).

Almost surely, 220393670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20393670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27630720).

20393670 is an abundant number, since it is smaller than the sum of its proper divisors (34867770).

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

20393670 is a wasteful number, since it uses less digits than its factorization.

20393670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181.

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 20393670 is about 4515.9351191088. The cubic root of 20393670 is about 273.2111771553.

The spelling of 20393670 in words is "twenty million, three hundred ninety-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 2131 3190 4262 4785 6393 9570 10655 12786 21310 23441 31965 46882 61799 63930 70323 117205 123598 140646 185397 234410 308995 351615 370794 617990 679789 703230 926985 1359578 1853970 2039367 3398945 4078734 6797890 10196835 20393670