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20059312 = 2471323599
BaseRepresentation
bin100110010000…
…1010010110000
31101202010012111
41030201102300
520113344222
61553535104
7332333650
oct114412260
941663174
1020059312
1110360949
126874494
134204420
142942360
151b63777
hex13214b0

20059312 has 80 divisors (see below), whose sum is σ = 49996800. Its totient is φ = 7577856.

The previous prime is 20059279. The next prime is 20059321. The reversal of 20059312 is 21395002.

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, 33189 + ... + 33787.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 220059312 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 20059312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

20059312 is an abundant number, since it is smaller than the sum of its proper divisors (29937488).

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

20059312 is a wasteful number, since it uses less digits than its factorization.

20059312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 20059312 is about 4478.7623290369. The cubic root of 20059312 is about 271.7098260727.

The spelling of 20059312 in words is "twenty million, fifty-nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 598 599 644 728 1196 1198 1288 1456 2093 2392 2396 2576 4186 4193 4784 4792 7787 8372 8386 9584 13777 15574 16744 16772 27554 31148 33488 33544 54509 55108 62296 67088 96439 109018 110216 124592 179101 192878 218036 220432 358202 385756 436072 716404 771512 872144 1253707 1432808 1543024 2507414 2865616 5014828 10029656 20059312