[go: up one dir, main page]

Search a number
-
+
20873216 = 2157213
BaseRepresentation
bin100111110100…
…0000000000000
31110021110200002
41033220000000
520320420331
62023215132
7342263600
oct117500000
943243602
1020873216
11108673a1
126ba74a8
13442aa20
142ab4c00
151c749cb
hex13e8000

20873216 has 96 divisors (see below), whose sum is σ = 52296930. Its totient is φ = 8257536.

The previous prime is 20873207. The next prime is 20873221. The reversal of 20873216 is 61237802.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 20070400 + 802816 = 4480^2 + 896^2 .

It is a super-2 number, since 2×208732162 = 871382292365312, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1605626 + ... + 1605638.

Almost surely, 220873216 is an apocalyptic number.

20873216 is a gapful number since it is divisible by the number (26) 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 20873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26148465).

20873216 is an abundant number, since it is smaller than the sum of its proper divisors (31423714).

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

20873216 is an frugal number, since it uses more digits than its factorization.

20873216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 20873216 is about 4568.7214841791. The cubic root of 20873216 is about 275.3360783665.

The spelling of 20873216 in words is "twenty million, eight hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1024 1274 1456 1568 1664 1792 2048 2548 2912 3136 3328 3584 4096 5096 5824 6272 6656 7168 8192 10192 11648 12544 13312 14336 16384 20384 23296 25088 26624 28672 32768 40768 46592 50176 53248 57344 81536 93184 100352 106496 114688 163072 186368 200704 212992 229376 326144 372736 401408 425984 652288 745472 802816 1304576 1490944 1605632 2609152 2981888 5218304 10436608 20873216