Search a number
-
+
32402441020 = 22543103936263
BaseRepresentation
bin11110001011010101…
…100000001100111100
310002122011220112220011
4132023111200030330
51012330011103040
622515132433004
72224651130035
oct361325401474
9102564815804
1032402441020
1112818373584
126343618764
133095026b31
1417d5541a8c
15c999d33ea
hex78b56033c

32402441020 has 48 divisors (see below), whose sum is σ = 69696506880. Its totient is φ = 12647025216.

The previous prime is 32402440919. The next prime is 32402441051. The reversal of 32402441020 is 2014420423.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32402440982 and 32402441000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 875409 + ... + 911671.

It is an arithmetic number, because the mean of its divisors is an integer number (1452010560).

Almost surely, 232402441020 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 32402441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34848253440).

32402441020 is an abundant number, since it is smaller than the sum of its proper divisors (37294065860).

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

32402441020 is a wasteful number, since it uses less digits than its factorization.

32402441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37354 (or 37352 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 32402441020 its reverse (2014420423), we get a palindrome (34416861443).

The spelling of 32402441020 in words is "thirty-two billion, four hundred two million, four hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1039 2078 4156 5195 10390 20780 36263 44677 72526 89354 145052 178708 181315 223385 362630 446770 725260 893540 1559309 3118618 6237236 7796545 15593090 31186180 37677257 75354514 150709028 188386285 376772570 753545140 1620122051 3240244102 6480488204 8100610255 16201220510 32402441020