Search a number
-
+
6240120 = 2335149349
BaseRepresentation
bin10111110011011101111000
3102202000211120
4113303131320
53044140440
6341425240
7104016525
oct27633570
912660746
106240120
113582327
12210b220
1313a63a3
14b8614c
15833dd0
hex5f3778

6240120 has 64 divisors (see below), whose sum is σ = 18900000. Its totient is φ = 1648128.

The previous prime is 6240109. The next prime is 6240121. The reversal of 6240120 is 210426.

It is a super-2 number, since 2×62401202 = 77878195228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 6240120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6240121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17706 + ... + 18054.

Almost surely, 26240120 is an apocalyptic number.

6240120 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 6240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9450000).

6240120 is an abundant number, since it is smaller than the sum of its proper divisors (12659880).

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

6240120 is a wasteful number, since it uses less digits than its factorization.

6240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 6240120 is about 2498.0232184670. The cubic root of 6240120 is about 184.1044617920.

Adding to 6240120 its reverse (210426), we get a palindrome (6450546).

The spelling of 6240120 in words is "six million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 349 447 596 698 745 894 1047 1192 1396 1490 1745 1788 2094 2235 2792 2980 3490 3576 4188 4470 5235 5960 6980 8376 8940 10470 13960 17880 20940 41880 52001 104002 156003 208004 260005 312006 416008 520010 624012 780015 1040020 1248024 1560030 2080040 3120060 6240120