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20966304 = 2531729443
BaseRepresentation
bin100111111111…
…0101110100000
31110110012100210
41033332232200
520331410204
62025214120
7343132152
oct117765640
943405323
1020966304
1110920327
127031340
1344611c8
142adaad2
151c92389
hex13feba0

20966304 has 96 divisors (see below), whose sum is σ = 60419520. Its totient is φ = 6336512.

The previous prime is 20966279. The next prime is 20966357. The reversal of 20966304 is 40366902.

It is a tau number, because it is divible by the number of its divisors (96).

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, 47107 + ... + 47549.

It is an arithmetic number, because the mean of its divisors is an integer number (629370).

Almost surely, 220966304 is an apocalyptic number.

20966304 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 20966304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30209760).

20966304 is an abundant number, since it is smaller than the sum of its proper divisors (39453216).

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

20966304 is a wasteful number, since it uses less digits than its factorization.

20966304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 20966304 is about 4578.8976839410. The cubic root of 20966304 is about 275.7447756123.

The spelling of 20966304 in words is "twenty million, nine hundred sixty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 232 272 348 408 443 464 493 544 696 816 886 928 986 1329 1392 1479 1632 1772 1972 2658 2784 2958 3544 3944 5316 5916 7088 7531 7888 10632 11832 12847 14176 15062 15776 21264 22593 23664 25694 30124 38541 42528 45186 47328 51388 60248 77082 90372 102776 120496 154164 180744 205552 218399 240992 308328 361488 411104 436798 616656 655197 722976 873596 1233312 1310394 1747192 2620788 3494384 5241576 6988768 10483152 20966304