Search a number
-
+
1085036456 = 237316171013
BaseRepresentation
bin100000010101100…
…0101011110101000
32210121200120012102
41000223011132220
54210232131311
6255400032532
735613441410
oct10053053650
92717616172
101085036456
11507524a49
12263462748
13143a41b0a
14a4165640
15653cc43b
hex40ac57a8

1085036456 has 64 divisors (see below), whose sum is σ = 2406343680. Its totient is φ = 448842240.

The previous prime is 1085036437. The next prime is 1085036461. The reversal of 1085036456 is 6546305801.

It is a super-2 number, since 2×10850364562 = 2354608221698079872, which contains 22 as substring.

It is an unprimeable number.

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, 1070606 + ... + 1071618.

It is an arithmetic number, because the mean of its divisors is an integer number (37599120).

Almost surely, 21085036456 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 1085036456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203171840).

1085036456 is an abundant number, since it is smaller than the sum of its proper divisors (1321307224).

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

1085036456 is a wasteful number, since it uses less digits than its factorization.

1085036456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 1085036456 is about 32939.8915602344. The cubic root of 1085036456 is about 1027.5779505668.

The spelling of 1085036456 in words is "one billion, eighty-five million, thirty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 617 868 1013 1234 1736 2026 2468 4052 4319 4936 7091 8104 8638 14182 17276 19127 28364 31403 34552 38254 56728 62806 76508 125612 133889 153016 219821 251224 267778 439642 535556 625021 879284 1071112 1250042 1758568 2500084 4375147 5000168 8750294 17500588 19375651 35001176 38751302 77502604 135629557 155005208 271259114 542518228 1085036456