Search a number
-
+
1985127084 = 2232533073389
BaseRepresentation
bin111011001010010…
…1010001010101100
312010100100220102100
41312110222022230
513031143031314
6524552055100
7100123205343
oct16624521254
95110326370
101985127084
119296093a6
12474994490
1325836a815
1414b906b5a
15b9425c09
hex7652a2ac

1985127084 has 72 divisors (see below), whose sum is σ = 5130805680. Its totient is φ = 646918272.

The previous prime is 1985127073. The next prime is 1985127101. The reversal of 1985127084 is 4807215891.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584062 + ... + 587450.

It is an arithmetic number, because the mean of its divisors is an integer number (71261190).

Almost surely, 21985127084 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 1985127084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565402840).

1985127084 is an abundant number, since it is smaller than the sum of its proper divisors (3145678596).

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

1985127084 is a wasteful number, since it uses less digits than its factorization.

1985127084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 1985127084 is about 44554.7649976969. The cubic root of 1985127084 is about 1256.7901594530.

The spelling of 1985127084 in words is "one billion, nine hundred eighty-five million, one hundred twenty-seven thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 307 318 477 614 636 921 954 1228 1842 1908 2763 3389 3684 5526 6778 10167 11052 13556 16271 20334 30501 32542 40668 48813 61002 65084 97626 122004 146439 179617 195252 292878 359234 538851 585756 718468 1040423 1077702 1616553 2080846 2155404 3121269 3233106 4161692 6242538 6466212 9363807 12485076 18727614 37455228 55142419 110284838 165427257 220569676 330854514 496281771 661709028 992563542 1985127084