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6064080 = 2435112297
BaseRepresentation
bin10111001000011111010000
3102102002100120
4113020133100
53023022310
6333550240
7102354351
oct27103720
912362316
106064080
113472040
122045380
131344219
14b3bd28
157ebb70
hex5c87d0

6064080 has 80 divisors (see below), whose sum is σ = 20516544. Its totient is φ = 1469440.

The previous prime is 6064061. The next prime is 6064099. The reversal of 6064080 is 804606.

It is an interprime number because it is at equal distance from previous prime (6064061) and next prime (6064099).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6064080.

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 15 ways as a sum of consecutive naturals, for example, 1492 + ... + 3788.

Almost surely, 26064080 is an apocalyptic number.

6064080 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 6064080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10258272).

6064080 is an abundant number, since it is smaller than the sum of its proper divisors (14452464).

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

6064080 is a wasteful number, since it uses less digits than its factorization.

6064080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6064080 is about 2462.5352789351. The cubic root of 6064080 is about 182.3566648359.

Adding to 6064080 its reverse (804606), we get a palindrome (6868686).

The spelling of 6064080 in words is "six million, sixty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2297 2640 4594 6891 9188 11485 13782 18376 22970 25267 27564 34455 36752 45940 50534 55128 68910 75801 91880 101068 110256 126335 137820 151602 183760 202136 252670 275640 303204 379005 404272 505340 551280 606408 758010 1010680 1212816 1516020 2021360 3032040 6064080