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3745080 = 23325101103
BaseRepresentation
bin1110010010010100111000
321001021021200
432102110320
51424320310
6212134200
743555413
oct16222470
97037250
103745080
112128809
121307360
13a11831
146d6b7a
154de9c0
hex392538

3745080 has 96 divisors (see below), whose sum is σ = 12411360. Its totient is φ = 979200.

The previous prime is 3745069. The next prime is 3745087. The reversal of 3745080 is 805473.

3745080 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 not an unprimeable number, because it can be changed into a prime (3745087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36309 + ... + 36411.

It is an arithmetic number, because the mean of its divisors is an integer number (129285).

Almost surely, 23745080 is an apocalyptic number.

3745080 is a gapful number since it is divisible by the number (30) 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 3745080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205680).

3745080 is an abundant number, since it is smaller than the sum of its proper divisors (8666280).

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

3745080 is a wasteful number, since it uses less digits than its factorization.

3745080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3745080 is about 1935.2209176216. The cubic root of 3745080 is about 155.2936507440.

The spelling of 3745080 in words is "three million, seven hundred forty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 103 120 180 202 206 303 309 360 404 412 505 515 606 618 808 824 909 927 1010 1030 1212 1236 1515 1545 1818 1854 2020 2060 2424 2472 3030 3090 3636 3708 4040 4120 4545 4635 6060 6180 7272 7416 9090 9270 10403 12120 12360 18180 18540 20806 31209 36360 37080 41612 52015 62418 83224 93627 104030 124836 156045 187254 208060 249672 312090 374508 416120 468135 624180 749016 936270 1248360 1872540 3745080