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3265808130 = 2325139772857
BaseRepresentation
bin1100001010101000…
…0100011100000010
322102121012020112200
43002222010130002
523142021330010
61300021334030
7143633624334
oct30252043402
98377166480
103265808130
111426510a92
12771867316
134007a0360
1422da39454
15141a9bcc0
hexc2a84702

3265808130 has 96 divisors (see below), whose sum is σ = 9156826224. Its totient is φ = 802787328.

The previous prime is 3265808089. The next prime is 3265808131. The reversal of 3265808130 is 318085623.

It can be written as a sum of positive squares in 8 ways, for example, as 1915025121 + 1350783009 = 43761^2 + 36753^2 .

It is not an unprimeable number, because it can be changed into a prime (3265808131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1141662 + ... + 1144518.

Almost surely, 23265808130 is an apocalyptic number.

3265808130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3265808130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4578413112).

3265808130 is an abundant number, since it is smaller than the sum of its proper divisors (5891018094).

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

3265808130 is a wasteful number, since it uses less digits than its factorization.

3265808130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3265808130 is about 57147.2495401135. The cubic root of 3265808130 is about 1483.6457674016.

The spelling of 3265808130 in words is "three billion, two hundred sixty-five million, eight hundred eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 977 1170 1954 2857 2931 4885 5714 5862 8571 8793 9770 12701 14285 14655 17142 17586 25402 25713 28570 29310 37141 38103 42855 43965 51426 63505 74282 76206 85710 87930 111423 114309 127010 128565 185705 190515 222846 228618 257130 334269 371410 381030 557115 571545 668538 1114230 1143090 1671345 2791289 3342690 5582578 8373867 13956445 16747734 25121601 27912890 36286757 41869335 50243202 72573514 83738670 108860271 125608005 181433785 217720542 251216010 326580813 362867570 544301355 653161626 1088602710 1632904065 3265808130