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2560104 = 233231237
BaseRepresentation
bin1001110001000001101000
311211001210200
421301001220
51123410404
6130512200
730521601
oct11610150
94731720
102560104
111499498
12a35660
136b8371
144a8da8
15358839
hex271068

2560104 has 72 divisors (see below), whose sum is σ = 7358130. Its totient is φ = 803520.

The previous prime is 2560099. The next prime is 2560123. The reversal of 2560104 is 4010652.

It is a happy number.

2560104 is a `hidden beast` number, since 2 + 560 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1695204 + 864900 = 1302^2 + 930^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69174 + ... + 69210.

22560104 is an apocalyptic number.

2560104 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 2560104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679065).

2560104 is an abundant number, since it is smaller than the sum of its proper divisors (4798026).

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

2560104 is a wasteful number, since it uses less digits than its factorization.

2560104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2560104 is about 1600.0324996699. The cubic root of 2560104 is about 136.7999281830.

Adding to 2560104 its reverse (4010652), we get a palindrome (6570756).

The spelling of 2560104 in words is "two million, five hundred sixty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 37 62 72 74 93 111 124 148 186 222 248 279 296 333 372 444 558 666 744 888 961 1116 1147 1332 1922 2232 2294 2664 2883 3441 3844 4588 5766 6882 7688 8649 9176 10323 11532 13764 17298 20646 23064 27528 34596 35557 41292 69192 71114 82584 106671 142228 213342 284456 320013 426684 640026 853368 1280052 2560104