Search a number
-
+
3130262872 = 23111093071063
BaseRepresentation
bin1011101010010100…
…0000010101011000
322002011010211101221
42322211000111120
522402321402442
61234340221424
7140366536552
oct27245002530
98064124357
103130262872
111366a51910
1273439a874
133ab692869
14219a344d2
15134c25467
hexba940558

3130262872 has 64 divisors (see below), whose sum is σ = 6488697600. Its totient is φ = 1403879040.

The previous prime is 3130262867. The next prime is 3130262879. The reversal of 3130262872 is 2782620313.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130262879) by changing a digit.

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, 2944213 + ... + 2945275.

It is an arithmetic number, because the mean of its divisors is an integer number (101385900).

Almost surely, 23130262872 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 3130262872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244348800).

3130262872 is an abundant number, since it is smaller than the sum of its proper divisors (3358434728).

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

3130262872 is a wasteful number, since it uses less digits than its factorization.

3130262872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 3130262872 is about 55948.7521934136. The cubic root of 3130262872 is about 1462.8291411244.

The spelling of 3130262872 in words is "three billion, one hundred thirty million, two hundred sixty-two thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 109 218 307 436 614 872 1063 1199 1228 2126 2398 2456 3377 4252 4796 6754 8504 9592 11693 13508 23386 27016 33463 46772 66926 93544 115867 133852 231734 267704 326341 368093 463468 652682 736186 926936 1274537 1305364 1472372 2549074 2610728 2944744 3589751 5098148 7179502 10196296 14359004 28718008 35571169 71142338 142284676 284569352 391282859 782565718 1565131436 3130262872