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3795680 = 25573389
BaseRepresentation
bin1110011110101011100000
321010211200202
432132223200
51432430210
6213204332
744156060
oct16365340
97124622
103795680
112162829
1213306a8
13a2b885
1470b3a0
154ee9a5
hex39eae0

3795680 has 48 divisors (see below), whose sum is σ = 10251360. Its totient is φ = 1300992.

The previous prime is 3795677. The next prime is 3795691. The reversal of 3795680 is 865973.

3795680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575 + ... + 2814.

It is an arithmetic number, because the mean of its divisors is an integer number (213570).

Almost surely, 23795680 is an apocalyptic number.

It is an amenable number.

3795680 is an abundant number, since it is smaller than the sum of its proper divisors (6455680).

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

3795680 is a wasteful number, since it uses less digits than its factorization.

3795680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 3795680 is about 1948.2504972411. The cubic root of 3795680 is about 155.9899182615.

The spelling of 3795680 in words is "three million, seven hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 3389 6778 13556 16945 23723 27112 33890 47446 54224 67780 94892 108448 118615 135560 189784 237230 271120 379568 474460 542240 759136 948920 1897840 3795680