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2623040 = 26571171
BaseRepresentation
bin1010000000011001000000
311221021010122
422000121000
51132414130
6132115412
731203230
oct12003100
94837118
102623040
111531802
12a65b68
1370abc4
144c3cc0
1536c2e5
hex280640

2623040 has 56 divisors (see below), whose sum is σ = 7144512. Its totient is φ = 898560.

The previous prime is 2623039. The next prime is 2623051. The reversal of 2623040 is 403262.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 1655 + ... + 2825.

22623040 is an apocalyptic number.

2623040 is a gapful number since it is divisible by the number (20) 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 2623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572256).

2623040 is an abundant number, since it is smaller than the sum of its proper divisors (4521472).

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

2623040 is a wasteful number, since it uses less digits than its factorization.

2623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2623040 is about 1619.5801925190. The cubic root of 2623040 is about 137.9118669917.

The spelling of 2623040 in words is "two million, six hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1171 2240 2342 4684 5855 8197 9368 11710 16394 18736 23420 32788 37472 40985 46840 65576 74944 81970 93680 131152 163940 187360 262304 327880 374720 524608 655760 1311520 2623040