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6030240 = 253517739
BaseRepresentation
bin10111000000001110100000
3102100100221020
4113000032200
53020431430
6333125440
7102153606
oct27001640
912310836
106030240
113449677
122029880
1313319b8
14b2d876
157e1b10
hex5c03a0

6030240 has 96 divisors (see below), whose sum is σ = 20139840. Its totient is φ = 1511424.

The previous prime is 6030197. The next prime is 6030247. The reversal of 6030240 is 420306.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (6030247) 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, 7791 + ... + 8529.

It is an arithmetic number, because the mean of its divisors is an integer number (209790).

Almost surely, 26030240 is an apocalyptic number.

6030240 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 6030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10069920).

6030240 is an abundant number, since it is smaller than the sum of its proper divisors (14109600).

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

6030240 is a wasteful number, since it uses less digits than its factorization.

6030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 6030240 is about 2455.6546988532. The cubic root of 6030240 is about 182.0168241099.

Adding to 6030240 its reverse (420306), we get a palindrome (6450546).

The spelling of 6030240 in words is "six million, thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 739 816 1020 1360 1478 1632 2040 2217 2720 2956 3695 4080 4434 5912 7390 8160 8868 11085 11824 12563 14780 17736 22170 23648 25126 29560 35472 37689 44340 50252 59120 62815 70944 75378 88680 100504 118240 125630 150756 177360 188445 201008 251260 301512 354720 376890 402016 502520 603024 753780 1005040 1206048 1507560 2010080 3015120 6030240