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3725680 = 24576653
BaseRepresentation
bin1110001101100101110000
321000021200011
432031211300
51423210210
6211504304
743445020
oct16154560
97007604
103725680
112115182
1212b8094
13a05a5a
146cda80
154d8d8a
hex38d970

3725680 has 40 divisors (see below), whose sum is σ = 9901152. Its totient is φ = 1277184.

The previous prime is 3725677. The next prime is 3725681. The reversal of 3725680 is 865273.

3725680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3725681) 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 7 ways as a sum of consecutive naturals, for example, 2767 + ... + 3886.

Almost surely, 23725680 is an apocalyptic number.

It is an amenable number.

3725680 is an abundant number, since it is smaller than the sum of its proper divisors (6175472).

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

3725680 is a wasteful number, since it uses less digits than its factorization.

3725680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6673 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 3725680 is about 1930.2020619614. The cubic root of 3725680 is about 155.0250393124.

The spelling of 3725680 in words is "three million, seven hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 6653 13306 26612 33265 46571 53224 66530 93142 106448 133060 186284 232855 266120 372568 465710 532240 745136 931420 1862840 3725680