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6150240 = 253254271
BaseRepresentation
bin10111011101100001100000
3102120110112200
4113131201200
53033301430
6335453200
7103163505
oct27354140
912513480
106150240
113520848
122087200
1313744c5
14b614ac
15817460
hex5dd860

6150240 has 72 divisors (see below), whose sum is σ = 20992608. Its totient is φ = 1639680.

The previous prime is 6150239. The next prime is 6150257. The reversal of 6150240 is 420516.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 696 + ... + 3575.

It is an arithmetic number, because the mean of its divisors is an integer number (291564).

Almost surely, 26150240 is an apocalyptic number.

6150240 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 6150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10496304).

6150240 is an abundant number, since it is smaller than the sum of its proper divisors (14842368).

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

6150240 is a wasteful number, since it uses less digits than its factorization.

6150240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 6150240 is about 2479.9677417257. The cubic root of 6150240 is about 183.2162631838.

Adding to 6150240 its reverse (420516), we get a palindrome (6570756).

The spelling of 6150240 in words is "six million, one hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 4271 8542 12813 17084 21355 25626 34168 38439 42710 51252 64065 68336 76878 85420 102504 128130 136672 153756 170840 192195 205008 256260 307512 341680 384390 410016 512520 615024 683360 768780 1025040 1230048 1537560 2050080 3075120 6150240