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20948312 = 23711311097
BaseRepresentation
bin100111111101…
…0010101011000
31110102021200102
41033322111120
520330321222
62024554532
7343025540
oct117722530
943367612
1020948312
1110908860
127022a48
134455c68
142ad4320
151c8bd92
hex13fa558

20948312 has 64 divisors (see below), whose sum is σ = 50595840. Its totient is φ = 7891200.

The previous prime is 20948261. The next prime is 20948321. The reversal of 20948312 is 21384902.

It is a congruent number.

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, 18548 + ... + 19644.

It is an arithmetic number, because the mean of its divisors is an integer number (790560).

Almost surely, 220948312 is an apocalyptic number.

20948312 is a gapful number since it is divisible by the number (22) 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 20948312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25297920).

20948312 is an abundant number, since it is smaller than the sum of its proper divisors (29647528).

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

20948312 is a wasteful number, since it uses less digits than its factorization.

20948312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 20948312 is about 4576.9325972752. The cubic root of 20948312 is about 275.6658772712.

The spelling of 20948312 in words is "twenty million, nine hundred forty-eight thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 1097 1364 1736 2194 2387 2728 4388 4774 7679 8776 9548 12067 15358 19096 24134 30716 34007 48268 61432 68014 84469 96536 136028 168938 238049 272056 337876 374077 476098 675752 748154 952196 1496308 1904392 2618539 2992616 5237078 10474156 20948312