Search a number
-
+
6245400 = 2335271487
BaseRepresentation
bin10111110100110000011000
3102202022002010
4113310300120
53044323100
6341505520
7104041110
oct27646030
912668063
106245400
113586297
1221122a0
1313a8905
14b88040
15835750
hex5f4c18

6245400 has 96 divisors (see below), whose sum is σ = 22141440. Its totient is φ = 1426560.

The previous prime is 6245387. The next prime is 6245401. The reversal of 6245400 is 45426.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6245401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3457 + ... + 4943.

It is an arithmetic number, because the mean of its divisors is an integer number (230640).

Almost surely, 26245400 is an apocalyptic number.

6245400 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 6245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070720).

6245400 is an abundant number, since it is smaller than the sum of its proper divisors (15896040).

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

6245400 is a wasteful number, since it uses less digits than its factorization.

6245400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 6245400 is about 2499.0798306577. The cubic root of 6245400 is about 184.1563730543.

The spelling of 6245400 in words is "six million, two hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 1487 2100 2974 4200 4461 5948 7435 8922 10409 11896 14870 17844 20818 22305 29740 31227 35688 37175 41636 44610 52045 59480 62454 74350 83272 89220 104090 111525 124908 148700 156135 178440 208180 223050 249816 260225 297400 312270 416360 446100 520450 624540 780675 892200 1040900 1249080 1561350 2081800 3122700 6245400