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3937140 = 2233523317
BaseRepresentation
bin1111000001001101110100
321102000202000
433001031310
52001442030
6220215300
745315354
oct17011564
97360660
103937140
11224a039
12139a530
13a7b08c
14746b64
1552b860
hex3c1374

3937140 has 96 divisors (see below), whose sum is σ = 12821760. Its totient is φ = 1001088.

The previous prime is 3937139. The next prime is 3937147. The reversal of 3937140 is 417393.

3937140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3937147) 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 31 ways as a sum of consecutive naturals, for example, 12262 + ... + 12578.

It is an arithmetic number, because the mean of its divisors is an integer number (133560).

Almost surely, 23937140 is an apocalyptic number.

3937140 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 3937140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410880).

3937140 is an abundant number, since it is smaller than the sum of its proper divisors (8884620).

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

3937140 is a wasteful number, since it uses less digits than its factorization.

3937140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3937140 is about 1984.2227697514. Note that the first 3 decimals coincide. The cubic root of 3937140 is about 157.9041773303.

The spelling of 3937140 in words is "three million, nine hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 317 345 414 460 540 621 634 690 828 951 1035 1242 1268 1380 1585 1902 2070 2484 2853 3105 3170 3804 4140 4755 5706 6210 6340 7291 8559 9510 11412 12420 14265 14582 17118 19020 21873 28530 29164 34236 36455 42795 43746 57060 65619 72910 85590 87492 109365 131238 145820 171180 196857 218730 262476 328095 393714 437460 656190 787428 984285 1312380 1968570 3937140