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20298816 = 263317691
BaseRepresentation
bin100110101101…
…1110001000000
31102012021202000
41031123301000
520144030231
62003024000
7334352136
oct115336100
942167660
1020298816
111050488a
12696b000
134289445
1429a5756
151bae6e6
hex135bc40

20298816 has 112 divisors (see below), whose sum is σ = 63276480. Its totient is φ = 6359040.

The previous prime is 20298797. The next prime is 20298823. The reversal of 20298816 is 61889202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29031 + ... + 29721.

Almost surely, 220298816 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 20298816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31638240).

20298816 is an abundant number, since it is smaller than the sum of its proper divisors (42977664).

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

20298816 is a wasteful number, since it uses less digits than its factorization.

20298816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 20298816 is about 4505.4207350701. The cubic root of 20298816 is about 272.7869367646.

The spelling of 20298816 in words is "twenty million, two hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 691 816 864 918 1088 1224 1382 1632 1728 1836 2073 2448 2764 3264 3672 4146 4896 5528 6219 7344 8292 9792 11056 11747 12438 14688 16584 18657 22112 23494 24876 29376 33168 35241 37314 44224 46988 49752 66336 70482 74628 93976 99504 105723 132672 140964 149256 187952 199008 211446 281928 298512 317169 375904 398016 422892 563856 597024 634338 751808 845784 1127712 1194048 1268676 1691568 2255424 2537352 3383136 5074704 6766272 10149408 20298816