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2715104 = 257172331
BaseRepresentation
bin1010010110110111100000
312002221102102
422112313200
51143340404
6134105532
732035520
oct12266740
95087372
102715104
111594997
12aab2a8
13740a92
14509680
1538971e
hex296de0

2715104 has 96 divisors (see below), whose sum is σ = 6967296. Its totient is φ = 1013760.

The previous prime is 2715101. The next prime is 2715109. The reversal of 2715104 is 4015172.

2715104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2715101) by changing a digit.

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, 87569 + ... + 87599.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

22715104 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 2715104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648).

2715104 is an abundant number, since it is smaller than the sum of its proper divisors (4252192).

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

2715104 is a wasteful number, since it uses less digits than its factorization.

2715104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 2715104 is about 1647.7572636769. The cubic root of 2715104 is about 139.5068362507.

The spelling of 2715104 in words is "two million, seven hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 23 28 31 32 34 46 56 62 68 92 112 119 124 136 161 184 217 224 238 248 272 322 368 391 434 476 496 527 544 644 713 736 782 868 952 992 1054 1288 1426 1564 1736 1904 2108 2576 2737 2852 3128 3472 3689 3808 4216 4991 5152 5474 5704 6256 6944 7378 8432 9982 10948 11408 12121 12512 14756 16864 19964 21896 22816 24242 29512 39928 43792 48484 59024 79856 84847 87584 96968 118048 159712 169694 193936 339388 387872 678776 1357552 2715104