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20963328 = 2133853
BaseRepresentation
bin100111111111…
…0000000000000
31110110001021120
41033332000000
520331311303
62025152240
7343120401
oct117760000
943401246
1020963328
1110919071
12702b680
13445ca49
142ad99a8
151c91553
hex13fe000

20963328 has 56 divisors (see below), whose sum is σ = 55964328. Its totient is φ = 6979584.

The previous prime is 20963287. The next prime is 20963339. The reversal of 20963328 is 82336902.

It is a super-2 number, since 2×209633282 = 878922241671168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24150 + ... + 25002.

It is an arithmetic number, because the mean of its divisors is an integer number (999363).

Almost surely, 220963328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20963328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27982164).

20963328 is an abundant number, since it is smaller than the sum of its proper divisors (35001000).

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

20963328 is an frugal number, since it uses more digits than its factorization.

20963328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 20963328 is about 4578.5727033651. The cubic root of 20963328 is about 275.7317284028.

The spelling of 20963328 in words is "twenty million, nine hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 853 1024 1536 1706 2048 2559 3072 3412 4096 5118 6144 6824 8192 10236 12288 13648 20472 24576 27296 40944 54592 81888 109184 163776 218368 327552 436736 655104 873472 1310208 1746944 2620416 3493888 5240832 6987776 10481664 20963328