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6298240 = 27513757
BaseRepresentation
bin11000000001101010000000
3102211222120011
4120001222000
53103020430
6342554304
7104351134
oct30015200
912758504
106298240
113611a63
122138994
1313c6990
14b9d3c4
1584622a
hex601a80

6298240 has 64 divisors (see below), whose sum is σ = 16236360. Its totient is φ = 2322432.

The previous prime is 6298231. The next prime is 6298241. The reversal of 6298240 is 428926.

It can be written as a sum of positive squares in 4 ways, for example, as 4293184 + 2005056 = 2072^2 + 1416^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6298241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7942 + ... + 8698.

Almost surely, 26298240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118180).

6298240 is an abundant number, since it is smaller than the sum of its proper divisors (9938120).

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

6298240 is a wasteful number, since it uses less digits than its factorization.

6298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 6298240 is about 2509.6294547204. The cubic root of 6298240 is about 184.6742746601.

The spelling of 6298240 in words is "six million, two hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 757 832 1040 1514 1664 2080 3028 3785 4160 6056 7570 8320 9841 12112 15140 19682 24224 30280 39364 48448 49205 60560 78728 96896 98410 121120 157456 196820 242240 314912 393640 484480 629824 787280 1259648 1574560 3149120 6298240