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6254080 = 2957349
BaseRepresentation
bin10111110110111000000000
3102202201222121
4113312320000
53100112310
6342014024
7104105320
oct27667000
912681877
106254080
113591868
122117314
1313ac851
14b8b280
158380da
hex5f6e00

6254080 has 80 divisors (see below), whose sum is σ = 17186400. Its totient is φ = 2138112.

The previous prime is 6254069. The next prime is 6254107. The reversal of 6254080 is 804526.

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

It is a super-2 number, since 2×62540802 = 78227033292800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 17746 + ... + 18094.

It is an arithmetic number, because the mean of its divisors is an integer number (214830).

Almost surely, 26254080 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 6254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8593200).

6254080 is an abundant number, since it is smaller than the sum of its proper divisors (10932320).

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

6254080 is an equidigital number, since it uses as much as digits as its factorization.

6254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 6254080 is about 2500.8158668722. The cubic root of 6254080 is about 184.2416484760.

The spelling of 6254080 in words is "six million, two hundred fifty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 349 448 512 560 640 698 896 1120 1280 1396 1745 1792 2240 2443 2560 2792 3490 3584 4480 4886 5584 6980 8960 9772 11168 12215 13960 17920 19544 22336 24430 27920 39088 44672 48860 55840 78176 89344 97720 111680 156352 178688 195440 223360 312704 390880 446720 625408 781760 893440 1250816 1563520 3127040 6254080