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2075904 = 28321753
BaseRepresentation
bin111111010110100000000
310220110121100
413322310000
51012412104
6112254400
723434125
oct7726400
93813540
102075904
111198726
12841400
13578b5c
143c074c
152b0139
hex1fad00

2075904 has 108 divisors (see below), whose sum is σ = 6456996. Its totient is φ = 638976.

The previous prime is 2075903. The next prime is 2075917. The reversal of 2075904 is 4095702.

It can be written as a sum of positive squares in 2 ways, for example, as 1557504 + 518400 = 1248^2 + 720^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2075903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39142 + ... + 39194.

It is an arithmetic number, because the mean of its divisors is an integer number (59787).

22075904 is an apocalyptic number.

2075904 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 2075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228498).

2075904 is an abundant number, since it is smaller than the sum of its proper divisors (4381092).

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

2075904 is a wasteful number, since it uses less digits than its factorization.

2075904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2075904 is about 1440.7997779011. The cubic root of 2075904 is about 127.5662400901.

The spelling of 2075904 in words is "two million, seventy-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 53 64 68 72 96 102 106 128 136 144 153 159 192 204 212 256 272 288 306 318 384 408 424 477 544 576 612 636 768 816 848 901 954 1088 1152 1224 1272 1632 1696 1802 1908 2176 2304 2448 2544 2703 3264 3392 3604 3816 4352 4896 5088 5406 6528 6784 7208 7632 8109 9792 10176 10812 13056 13568 14416 15264 16218 19584 20352 21624 28832 30528 32436 39168 40704 43248 57664 61056 64872 86496 115328 122112 129744 172992 230656 259488 345984 518976 691968 1037952 2075904