Search a number
-
+
20196264 = 23311113677
BaseRepresentation
bin100110100001…
…0101110101000
31102000002001210
41031002232220
520132240024
62000513120
7333444144
oct115025650
942002053
1020196264
1110444830
12691b7a0
13425186a
14297a224
151b8e129
hex1342ba8

20196264 has 64 divisors (see below), whose sum is σ = 55650240. Its totient is φ = 6056960.

The previous prime is 20196227. The next prime is 20196299. The reversal of 20196264 is 46269102.

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, 29494 + ... + 30170.

It is an arithmetic number, because the mean of its divisors is an integer number (869535).

Almost surely, 220196264 is an apocalyptic number.

20196264 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 20196264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27825120).

20196264 is an abundant number, since it is smaller than the sum of its proper divisors (35453976).

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

20196264 is a wasteful number, since it uses less digits than its factorization.

20196264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 20196264 is about 4494.0253670846. The cubic root of 20196264 is about 272.3267770958.

The spelling of 20196264 in words is "twenty million, one hundred ninety-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 113 132 226 264 339 452 677 678 904 1243 1354 1356 2031 2486 2708 2712 3729 4062 4972 5416 7447 7458 8124 9944 14894 14916 16248 22341 29788 29832 44682 59576 76501 89364 153002 178728 229503 306004 459006 612008 841511 918012 1683022 1836024 2524533 3366044 5049066 6732088 10098132 20196264