Search a number
-
+
1085040984 = 233377915467
BaseRepresentation
bin100000010101100…
…0110100101011000
32210121200210102010
41000223012211120
54210232302414
6255400105520
735613460536
oct10053064530
92717623363
101085040984
11507528395
122634652a0
13143a43bb1
14a4167156
15653cd959
hex40ac6958

1085040984 has 64 divisors (see below), whose sum is σ = 2821363200. Its totient is φ = 347428224.

The previous prime is 1085040967. The next prime is 1085041007. The reversal of 1085040984 is 4890405801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62419 + ... + 77885.

It is an arithmetic number, because the mean of its divisors is an integer number (44083800).

Almost surely, 21085040984 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 1085040984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410681600).

1085040984 is an abundant number, since it is smaller than the sum of its proper divisors (1736322216).

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

1085040984 is a wasteful number, since it uses less digits than its factorization.

1085040984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15592 (or 15588 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 1085040984 is about 32939.9602914150. The cubic root of 1085040984 is about 1027.5793799709.

The spelling of 1085040984 in words is "one billion, eighty-five million, forty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 79 111 148 158 222 237 296 316 444 474 632 888 948 1896 2923 5846 8769 11692 15467 17538 23384 30934 35076 46401 61868 70152 92802 123736 185604 371208 572279 1144558 1221893 1716837 2289116 2443786 3433674 3665679 4578232 4887572 6867348 7331358 9775144 13734696 14662716 29325432 45210041 90420082 135630123 180840164 271260246 361680328 542520492 1085040984