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3260435540 = 2253110152067
BaseRepresentation
bin1100001001010110…
…0100110001010100
322102020002021201212
43002111210301110
523134132414130
61255310240552
7143540146655
oct30225446124
98366067655
103260435540
11142348152a
1276bab6158
133cc63bacb
1422d03b52c
15141389e95
hexc2564c54

3260435540 has 48 divisors (see below), whose sum is σ = 7137897984. Its totient is φ = 1249584000.

The previous prime is 3260435531. The next prime is 3260435557. The reversal of 3260435540 is 455340623.

It is a junction number, because it is equal to n+sod(n) for n = 3260435497 and 3260435506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36587 + ... + 88653.

It is an arithmetic number, because the mean of its divisors is an integer number (148706208).

Almost surely, 23260435540 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 3260435540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568948992).

3260435540 is an abundant number, since it is smaller than the sum of its proper divisors (3877462444).

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

3260435540 is a wasteful number, since it uses less digits than its factorization.

3260435540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52208 (or 52206 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 3260435540 is about 57100.2236422941. The cubic root of 3260435540 is about 1482.8317375970.

The spelling of 3260435540 in words is "three billion, two hundred sixty million, four hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 620 1010 2020 3131 6262 12524 15655 31310 52067 62620 104134 208268 260335 520670 1041340 1614077 3228154 5258767 6456308 8070385 10517534 16140770 21035068 26293835 32281540 52587670 105175340 163021777 326043554 652087108 815108885 1630217770 3260435540