Search a number
-
+
2068590 = 235531301
BaseRepresentation
bin111111001000001101110
310220002120110
413321001232
51012143330
6112200450
723403606
oct7710156
93802513
102068590
111193187
12839126
13575724
143bbc06
152acdb0
hex1f906e

2068590 has 32 divisors (see below), whose sum is σ = 5062176. Its totient is φ = 540800.

The previous prime is 2068589. The next prime is 2068607. The reversal of 2068590 is 958602.

It is a super-3 number, since 3×20685903 = 26554890648893337000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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, 940 + ... + 2240.

It is an arithmetic number, because the mean of its divisors is an integer number (158193).

22068590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2068590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531088).

2068590 is an abundant number, since it is smaller than the sum of its proper divisors (2993586).

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

2068590 is a wasteful number, since it uses less digits than its factorization.

2068590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2068590 is about 1438.2593646488. The cubic root of 2068590 is about 127.4162464176.

The spelling of 2068590 in words is "two million, sixty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1301 1590 2602 3903 6505 7806 13010 19515 39030 68953 137906 206859 344765 413718 689530 1034295 2068590