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2104736 = 25175373
BaseRepresentation
bin1000000001110110100000
310221221011012
420001312200
51014322421
6113040052
723614154
oct10016640
93857135
102104736
111208357
12856028
1358900a
143cb064
152b895b
hex201da0

2104736 has 48 divisors (see below), whose sum is σ = 4531464. Its totient is φ = 958464.

The previous prime is 2104727. The next prime is 2104741. The reversal of 2104736 is 6374012.

It can be written as a sum of positive squares in 4 ways, for example, as 2085136 + 19600 = 1444^2 + 140^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28796 + ... + 28868.

22104736 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 2104736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265732).

2104736 is an abundant number, since it is smaller than the sum of its proper divisors (2426728).

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

2104736 is a wasteful number, since it uses less digits than its factorization.

2104736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 2104736 is about 1450.7708295937. The cubic root of 2104736 is about 128.1541112515.

Adding to 2104736 its reverse (6374012), we get a palindrome (8478748).

The spelling of 2104736 in words is "two million, one hundred four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 53 68 73 106 136 146 212 272 292 424 544 584 848 901 1168 1241 1696 1802 2336 2482 3604 3869 4964 7208 7738 9928 14416 15476 19856 28832 30952 39712 61904 65773 123808 131546 263092 526184 1052368 2104736