Search a number
-
+
20260440 = 23325167337
BaseRepresentation
bin100110101001…
…0011001011000
31102010100002200
41031102121120
520141313230
62002130200
7334132224
oct115223130
942110080
1020260440
1110488a72
126950960
134274b35
142995784
151ba3160
hex1352658

20260440 has 96 divisors (see below), whose sum is σ = 66437280. Its totient is φ = 5354496.

The previous prime is 20260433. The next prime is 20260451. The reversal of 20260440 is 4406202.

20260440 is a `hidden beast` number, since 20 + 2 + 604 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 59952 + ... + 60288.

It is an arithmetic number, because the mean of its divisors is an integer number (692055).

Almost surely, 220260440 is an apocalyptic number.

20260440 is a gapful number since it is divisible by the number (20) 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 20260440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33218640).

20260440 is an abundant number, since it is smaller than the sum of its proper divisors (46176840).

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

20260440 is a wasteful number, since it uses less digits than its factorization.

20260440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20260440 is about 4501.1598505274. The cubic root of 20260440 is about 272.6149222082.

Adding to 20260440 its reverse (4406202), we get a palindrome (24666642).

The spelling of 20260440 in words is "twenty million, two hundred sixty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 167 180 334 337 360 501 668 674 835 1002 1011 1336 1348 1503 1670 1685 2004 2022 2505 2696 3006 3033 3340 3370 4008 4044 5010 5055 6012 6066 6680 6740 7515 8088 10020 10110 12024 12132 13480 15030 15165 20040 20220 24264 30060 30330 40440 56279 60120 60660 112558 121320 168837 225116 281395 337674 450232 506511 562790 675348 844185 1013022 1125580 1350696 1688370 2026044 2251160 2532555 3376740 4052088 5065110 6753480 10130220 20260440