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20726816 = 2511253101
BaseRepresentation
bin100111100010…
…0010000100000
31110000000211212
41033010100200
520301224231
62020125252
7341114015
oct117042040
943000755
1020726816
1110777400
126b36828
1343a91b6
142a7770c
151c4642b
hex13c4420

20726816 has 72 divisors (see below), whose sum is σ = 46151532. Its totient is φ = 9152000.

The previous prime is 20726813. The next prime is 20726819. The reversal of 20726816 is 61862702.

It is an interprime number because it is at equal distance from previous prime (20726813) and next prime (20726819).

It can be written as a sum of positive squares in 2 ways, for example, as 17472400 + 3254416 = 4180^2 + 1804^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (20726813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205166 + ... + 205266.

Almost surely, 220726816 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 20726816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23075766).

20726816 is an abundant number, since it is smaller than the sum of its proper divisors (25424716).

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

20726816 is a wasteful number, since it uses less digits than its factorization.

20726816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 20726816 is about 4552.6713037512. The cubic root of 20726816 is about 274.6908525953.

It can be divided in two parts, 2072 and 6816, that added together give a palindrome (8888).

The spelling of 20726816 in words is "twenty million, seven hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 101 106 121 176 202 212 242 352 404 424 484 583 808 848 968 1111 1166 1616 1696 1936 2222 2332 3232 3872 4444 4664 5353 6413 8888 9328 10706 12221 12826 17776 18656 21412 24442 25652 35552 42824 48884 51304 58883 85648 97768 102608 117766 171296 195536 205216 235532 391072 471064 647713 942128 1295426 1884256 2590852 5181704 10363408 20726816