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20837394 = 23231107349
BaseRepresentation
bin100111101111…
…1010000010010
31110012122112100
41033133100102
520313244034
62022341230
7342054264
oct117372022
943178470
1020837394
1110842496
126b8a816
134417626
142aa5b34
151c69099
hex13df412

20837394 has 48 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 6639840.

The previous prime is 20837387. The next prime is 20837419. The reversal of 20837394 is 49373802.

It is a super-2 number, since 2×208373942 = 868393977422472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59532 + ... + 59880.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 220837394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20837394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

20837394 is an abundant number, since it is smaller than the sum of its proper divisors (26337006).

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

20837394 is a wasteful number, since it uses less digits than its factorization.

20837394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 20837394 is about 4564.7994479495. The cubic root of 20837394 is about 275.1784802811.

The spelling of 20837394 in words is "twenty million, eight hundred thirty-seven thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 31 62 93 107 186 214 279 321 349 558 642 698 963 1047 1926 2094 3141 3317 6282 6634 9951 10819 19902 21638 29853 32457 37343 59706 64914 74686 97371 112029 194742 224058 336087 672174 1157633 2315266 3472899 6945798 10418697 20837394