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2607104 = 2111967
BaseRepresentation
bin1001111100100000000000
311220110021102
421330200000
51131411404
6131513532
731105613
oct11744000
94813242
102607104
111520835
12a588a8
13703886
144bc17a
1536771e
hex27c800

2607104 has 48 divisors (see below), whose sum is σ = 5569200. Its totient is φ = 1216512.

The previous prime is 2607097. The next prime is 2607107. The reversal of 2607104 is 4017062.

It is not an unprimeable number, because it can be changed into a prime (2607107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38879 + ... + 38945.

It is an arithmetic number, because the mean of its divisors is an integer number (116025).

22607104 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 2607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784600).

2607104 is an abundant number, since it is smaller than the sum of its proper divisors (2962096).

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

2607104 is an equidigital number, since it uses as much as digits as its factorization.

2607104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2607104 is about 1614.6529038775. The cubic root of 2607104 is about 137.6320098596.

The spelling of 2607104 in words is "two million, six hundred seven thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 67 76 128 134 152 256 268 304 512 536 608 1024 1072 1216 1273 2048 2144 2432 2546 4288 4864 5092 8576 9728 10184 17152 19456 20368 34304 38912 40736 68608 81472 137216 162944 325888 651776 1303552 2607104