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20233824 = 2531331523
BaseRepresentation
bin100110100101…
…1111001100000
31102001222120220
41031023321200
520134440244
62001403040
7333661512
oct115137140
942058526
1020233824
111046aa76
126939480
1342659a0
142989bb2
151b9a319
hex134be60

20233824 has 96 divisors (see below), whose sum is σ = 59157504. Its totient is φ = 6013440.

The previous prime is 20233819. The next prime is 20233831. The reversal of 20233824 is 42833202.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20233794 and 20233803.

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, 38427 + ... + 38949.

It is an arithmetic number, because the mean of its divisors is an integer number (616224).

Almost surely, 220233824 is an apocalyptic number.

20233824 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 20233824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29578752).

20233824 is an abundant number, since it is smaller than the sum of its proper divisors (38923680).

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

20233824 is a wasteful number, since it uses less digits than its factorization.

20233824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 20233824 is about 4498.2023075891. The cubic root of 20233824 is about 272.4954924485.

The spelling of 20233824 in words is "twenty million, two hundred thirty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 523 624 744 806 992 1046 1209 1248 1488 1569 1612 2092 2418 2976 3138 3224 4184 4836 6276 6448 6799 8368 9672 12552 12896 13598 16213 16736 19344 20397 25104 27196 32426 38688 40794 48639 50208 54392 64852 81588 97278 108784 129704 163176 194556 210769 217568 259408 326352 389112 421538 518816 632307 652704 778224 843076 1264614 1556448 1686152 2529228 3372304 5058456 6744608 10116912 20233824