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2623104 = 27341123
BaseRepresentation
bin1010000000011010000000
311221021020000
422000122000
51132414404
6132120000
731203351
oct12003200
94837200
102623104
111531860
12a66000
1370ac43
144c3d28
1536c339
hex280680

2623104 has 160 divisors (see below), whose sum is σ = 8886240. Its totient is φ = 760320.

The previous prime is 2623099. The next prime is 2623111. The reversal of 2623104 is 4013262.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114037 + ... + 114059.

It is an arithmetic number, because the mean of its divisors is an integer number (55539).

22623104 is an apocalyptic number.

2623104 is a gapful number since it is divisible by the number (24) 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 2623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443120).

2623104 is an abundant number, since it is smaller than the sum of its proper divisors (6263136).

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

2623104 is a wasteful number, since it uses less digits than its factorization.

2623104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2623104 is about 1619.5999506051. The cubic root of 2623104 is about 137.9129886276.

Adding to 2623104 its reverse (4013262), we get a palindrome (6636366).

The spelling of 2623104 in words is "two million, six hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 32 33 36 44 46 48 54 64 66 69 72 81 88 92 96 99 108 128 132 138 144 162 176 184 192 198 207 216 253 264 276 288 297 324 352 368 384 396 414 432 506 528 552 576 594 621 648 704 736 759 792 828 864 891 1012 1056 1104 1152 1188 1242 1296 1408 1472 1518 1584 1656 1728 1782 1863 2024 2112 2208 2277 2376 2484 2592 2944 3036 3168 3312 3456 3564 3726 4048 4224 4416 4554 4752 4968 5184 6072 6336 6624 6831 7128 7452 8096 8832 9108 9504 9936 10368 12144 12672 13248 13662 14256 14904 16192 18216 19008 19872 20493 24288 26496 27324 28512 29808 32384 36432 38016 39744 40986 48576 54648 57024 59616 72864 79488 81972 97152 109296 114048 119232 145728 163944 218592 238464 291456 327888 437184 655776 874368 1311552 2623104