Search a number
-
+
893342190 = 2351319313889
BaseRepresentation
bin110101001111110…
…101000111101110
32022020222111002210
4311033311013232
53312143422230
6224351231250
731065166116
oct6517650756
92266874083
10893342190
114192a5234
1220b218526
13113105160
1486906046
1553663eb0
hex353f51ee

893342190 has 128 divisors (see below), whose sum is σ = 2509516800. Its totient is φ = 201553920.

The previous prime is 893342183. The next prime is 893342249. The reversal of 893342190 is 91243398.

It is a super-2 number, since 2×8933421902 = 1596120536867992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227766 + ... + 231654.

It is an arithmetic number, because the mean of its divisors is an integer number (19605600).

Almost surely, 2893342190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 893342190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254758400).

893342190 is an abundant number, since it is smaller than the sum of its proper divisors (1616174610).

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

893342190 is a wasteful number, since it uses less digits than its factorization.

893342190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962.

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 893342190 is about 29888.8305224544. The cubic root of 893342190 is about 963.1027323926.

The spelling of 893342190 in words is "eight hundred ninety-three million, three hundred forty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 31 38 39 57 62 65 78 93 95 114 130 155 186 190 195 247 285 310 390 403 465 494 570 589 741 806 930 1178 1209 1235 1482 1767 2015 2418 2470 2945 3534 3705 3889 4030 5890 6045 7410 7657 7778 8835 11667 12090 15314 17670 19445 22971 23334 38285 38890 45942 50557 58335 73891 76570 101114 114855 116670 120559 147782 151671 221673 229710 241118 252785 303342 361677 369455 443346 505570 602795 723354 738910 758355 960583 1108365 1205590 1516710 1567267 1808385 1921166 2216730 2290621 2881749 3134534 3616770 4581242 4701801 4802915 5763498 6871863 7836335 9403602 9605830 11453105 13743726 14408745 15672670 22906210 23509005 28817490 29778073 34359315 47018010 59556146 68718630 89334219 148890365 178668438 297780730 446671095 893342190