Search a number
-
+
2068440 = 2335111567
BaseRepresentation
bin111111000111111011000
310220002100220
413320333120
51012142230
6112200040
723403303
oct7707730
93802326
102068440
111193060
12839020
1357563a
143bbb3a
152acd10
hex1f8fd8

2068440 has 64 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 501120.

The previous prime is 2068439. The next prime is 2068453. The reversal of 2068440 is 448602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2068440.

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, 537 + ... + 2103.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

22068440 is an apocalyptic number.

2068440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2068440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2068440 is an abundant number, since it is smaller than the sum of its proper divisors (4705320).

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

2068440 is a wasteful number, since it uses less digits than its factorization.

2068440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2068440 is about 1438.2072173369. The cubic root of 2068440 is about 127.4131665582.

It can be divided in two parts, 206 and 8440, that added together give a triangular number (8646 = T131).

The spelling of 2068440 in words is "two million, sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1567 3134 4701 6268 7835 9402 12536 15670 17237 18804 23505 31340 34474 37608 47010 51711 62680 68948 86185 94020 103422 137896 172370 188040 206844 258555 344740 413688 517110 689480 1034220 2068440