Search a number
-
+
20394024 = 2337233521
BaseRepresentation
bin100110111001…
…1000000101000
31102101010100020
41031303000220
520210102044
62005040440
7335226540
oct115630050
942333306
1020394024
111056a372
1269b6120
1342c0891
1429cc320
151bcca19
hex1373028

20394024 has 64 divisors (see below), whose sum is σ = 58631040. Its totient is φ = 5790720.

The previous prime is 20393983. The next prime is 20394037. The reversal of 20394024 is 42049302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20393985 and 20394003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38884 + ... + 39404.

It is an arithmetic number, because the mean of its divisors is an integer number (916110).

Almost surely, 220394024 is an apocalyptic number.

20394024 is a gapful number since it is divisible by the number (24) 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 20394024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29315520).

20394024 is an abundant number, since it is smaller than the sum of its proper divisors (38237016).

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

20394024 is a wasteful number, since it uses less digits than its factorization.

20394024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 20394024 is about 4515.9743134788. The cubic root of 20394024 is about 273.2127579759.

The spelling of 20394024 in words is "twenty million, three hundred ninety-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 233 466 521 699 932 1042 1398 1563 1631 1864 2084 2796 3126 3262 3647 4168 4893 5592 6252 6524 7294 9786 10941 12504 13048 14588 19572 21882 29176 39144 43764 87528 121393 242786 364179 485572 728358 849751 971144 1456716 1699502 2549253 2913432 3399004 5098506 6798008 10197012 20394024