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6020640 = 2532537113
BaseRepresentation
bin10110111101111000100000
3102022212202200
4112331320200
53020130030
6333013200
7102113613
oct26757040
912285680
106020640
11344243a
122024200
13132a512
14b2a17a
157ddd60
hex5bde20

6020640 has 144 divisors (see below), whose sum is σ = 21287448. Its totient is φ = 1548288.

The previous prime is 6020627. The next prime is 6020647. The reversal of 6020640 is 460206.

6020640 is a `hidden beast` number, since 6 + 0 + 20 + 640 = 666.

6020640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4309776 + 1710864 = 2076^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6020647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53224 + ... + 53336.

Almost surely, 26020640 is an apocalyptic number.

6020640 is a gapful number since it is divisible by the number (60) 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 6020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10643724).

6020640 is an abundant number, since it is smaller than the sum of its proper divisors (15266808).

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

6020640 is a wasteful number, since it uses less digits than its factorization.

6020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6020640 is about 2453.6992480742. The cubic root of 6020640 is about 181.9201839770.

Adding to 6020640 its reverse (460206), we get a palindrome (6480846).

The spelling of 6020640 in words is "six million, twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 113 120 144 148 160 180 185 222 226 240 288 296 333 339 360 370 444 452 480 555 565 592 666 678 720 740 888 904 1017 1110 1130 1184 1332 1356 1440 1480 1665 1695 1776 1808 2034 2220 2260 2664 2712 2960 3330 3390 3552 3616 4068 4181 4440 4520 5085 5328 5424 5920 6660 6780 8136 8362 8880 9040 10170 10656 10848 12543 13320 13560 16272 16724 17760 18080 20340 20905 25086 26640 27120 32544 33448 37629 40680 41810 50172 53280 54240 62715 66896 75258 81360 83620 100344 125430 133792 150516 162720 167240 188145 200688 250860 301032 334480 376290 401376 501720 602064 668960 752580 1003440 1204128 1505160 2006880 3010320 6020640