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20081232 = 2432373769
BaseRepresentation
bin100110010011…
…0101001010000
31101210020021100
41030212221100
520120044412
61554224400
7332454603
oct114465120
941706240
1020081232
1110376366
126885100
1342113b2
14294a33a
151b69edc
hex1326a50

20081232 has 60 divisors (see below), whose sum is σ = 57733780. Its totient is φ = 6511104.

The previous prime is 20081227. The next prime is 20081263. The reversal of 20081232 is 23218002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17338896 + 2742336 = 4164^2 + 1656^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3444 + ... + 7212.

Almost surely, 220081232 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 20081232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28866890).

20081232 is an abundant number, since it is smaller than the sum of its proper divisors (37652548).

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

20081232 is a wasteful number, since it uses less digits than its factorization.

20081232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20081232 is about 4481.2087655007. The cubic root of 20081232 is about 271.8087611917.

Adding to 20081232 its reverse (23218002), we get a palindrome (43299234).

It can be divided in two parts, 2008 and 1232, that added together give a triangular number (3240 = T80).

The spelling of 20081232 in words is "twenty million, eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 3769 5328 7538 11307 15076 22614 30152 33921 45228 60304 67842 90456 135684 139453 180912 271368 278906 418359 542736 557812 836718 1115624 1255077 1673436 2231248 2510154 3346872 5020308 6693744 10040616 20081232