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3126728670 = 235132929533
BaseRepresentation
bin1011101001011110…
…0001011111011110
322001220111021101120
42322113201133132
522400420304140
61234132351410
7140324520012
oct27227413736
98056437346
103126728670
111364a5858a
12733175566
133aaa26010
14219394542
151347781d0
hexba5e17de

3126728670 has 96 divisors (see below), whose sum is σ = 8370546912. Its totient is φ = 743038464.

The previous prime is 3126728611. The next prime is 3126728701. The reversal of 3126728670 is 768276213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323224 + ... + 332756.

It is an arithmetic number, because the mean of its divisors is an integer number (87193197).

Almost surely, 23126728670 is an apocalyptic number.

3126728670 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 3126728670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185273456).

3126728670 is an abundant number, since it is smaller than the sum of its proper divisors (5243818242).

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

3126728670 is a wasteful number, since it uses less digits than its factorization.

3126728670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9614 (or 9585 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 3126728670 is about 55917.1589943552. The cubic root of 3126728670 is about 1462.2784013727.

The spelling of 3126728670 in words is "three billion, one hundred twenty-six million, seven hundred twenty-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 435 754 841 870 1131 1682 1885 2262 2523 3770 4205 5046 5655 8410 9533 10933 11310 12615 19066 21866 25230 28599 32799 47665 54665 57198 65598 95330 109330 123929 142995 163995 247858 276457 285990 327990 371787 552914 619645 743574 829371 1239290 1382285 1658742 1858935 2764570 3593941 3717870 4146855 7187882 8017253 8293710 10781823 16034506 17969705 21563646 24051759 35939410 40086265 48103518 53909115 80172530 104224289 107818230 120258795 208448578 240517590 312672867 521121445 625345734 1042242890 1563364335 3126728670