Search a number
-
+
890689068 = 2233192771567
BaseRepresentation
bin110101000101101…
…101011000101100
32022001222200201000
4311011231120230
53311004022233
6224214320300
731033506063
oct6505553054
92261880630
10890689068
11417852975
1220a359090
131126b6669
14864151da
15532dcd13
hex3516d62c

890689068 has 96 divisors (see below), whose sum is σ = 2441062400. Its totient is φ = 280075968.

The previous prime is 890689067. The next prime is 890689069. The reversal of 890689068 is 860986098.

890689068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (890689067) and next prime (890689069).

It is a Harshad number since it is a multiple of its sum of digits (54).

890689068 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (890689061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567621 + ... + 569187.

Almost surely, 2890689068 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 890689068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220531200).

890689068 is an abundant number, since it is smaller than the sum of its proper divisors (1550373332).

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

890689068 is a wasteful number, since it uses less digits than its factorization.

890689068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 890689068 is about 29844.4143517677. The cubic root of 890689068 is about 962.1483527475.

The spelling of 890689068 in words is "eight hundred ninety million, six hundred eighty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 277 342 513 554 684 831 1026 1108 1567 1662 2052 2493 3134 3324 4701 4986 5263 6268 7479 9402 9972 10526 14103 14958 15789 18804 21052 28206 29773 29916 31578 42309 47367 56412 59546 63156 84618 89319 94734 119092 142101 169236 178638 189468 267957 284202 357276 434059 535914 568404 803871 868118 1071828 1302177 1607742 1736236 2604354 3215484 3906531 5208708 7813062 8247121 11719593 15626124 16494242 23439186 24741363 32988484 46878372 49482726 74224089 98965452 148448178 222672267 296896356 445344534 890689068