Search a number
-
+
20332928 = 277112063
BaseRepresentation
bin100110110010…
…0000110000000
31102021000112102
41031210012000
520201123203
62003445532
7334553450
oct115440600
942230472
1020332928
1110528480
1269868a8
13429bb25
1429b3d60
151bb9888
hex1364180

20332928 has 64 divisors (see below), whose sum is σ = 50526720. Its totient is φ = 7918080.

The previous prime is 20332919. The next prime is 20332951. The reversal of 20332928 is 82923302.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×203329282 = 826855922106368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20332928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8825 + ... + 10887.

It is an arithmetic number, because the mean of its divisors is an integer number (789480).

Almost surely, 220332928 is an apocalyptic number.

20332928 is a gapful number since it is divisible by the number (28) 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 20332928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25263360).

20332928 is an abundant number, since it is smaller than the sum of its proper divisors (30193792).

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

20332928 is a wasteful number, since it uses less digits than its factorization.

20332928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 20332928 is about 4509.2048079456. The cubic root of 20332928 is about 272.9396566794.

The spelling of 20332928 in words is "twenty million, three hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2063 2464 4126 4928 8252 9856 14441 16504 22693 28882 33008 45386 57764 66016 90772 115528 132032 158851 181544 231056 264064 317702 363088 462112 635404 726176 924224 1270808 1452352 1848448 2541616 2904704 5083232 10166464 20332928