Search a number
-
+
6040800 = 253252839
BaseRepresentation
bin10111000010110011100000
3102100220102100
4113002303200
53021301200
6333250400
7102226443
oct27026340
912326370
106040800
1134565a7
122033a00
13133674c
14b3365a
157e4d00
hex5c2ce0

6040800 has 108 divisors (see below), whose sum is σ = 21326760. Its totient is φ = 1608960.

The previous prime is 6040799. The next prime is 6040807. The reversal of 6040800 is 80406.

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 (6040807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6781 + ... + 7619.

It is an arithmetic number, because the mean of its divisors is an integer number (197470).

Almost surely, 26040800 is an apocalyptic number.

6040800 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 6040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663380).

6040800 is an abundant number, since it is smaller than the sum of its proper divisors (15285960).

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

6040800 is a wasteful number, since it uses less digits than its factorization.

6040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6040800 is about 2457.8038977917. The cubic root of 6040800 is about 182.1230098658.

The spelling of 6040800 in words is "six million, forty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 839 900 1200 1440 1678 1800 2400 2517 3356 3600 4195 5034 6712 7200 7551 8390 10068 12585 13424 15102 16780 20136 20975 25170 26848 30204 33560 37755 40272 41950 50340 60408 62925 67120 75510 80544 83900 100680 120816 125850 134240 151020 167800 188775 201360 241632 251700 302040 335600 377550 402720 503400 604080 671200 755100 1006800 1208160 1510200 2013600 3020400 6040800