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3961140 = 2235107617
BaseRepresentation
bin1111000111000100110100
321110020122220
433013010310
52003224030
6220522340
745445341
oct17070464
97406586
103961140
112266077
1213b03b0
13a88c91
147517c8
15533a10
hex3c7134

3961140 has 48 divisors (see below), whose sum is σ = 11212992. Its totient is φ = 1044736.

The previous prime is 3961121. The next prime is 3961147. The reversal of 3961140 is 411693.

3961140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3961140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3961147) 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 15 ways as a sum of consecutive naturals, for example, 6112 + ... + 6728.

It is an arithmetic number, because the mean of its divisors is an integer number (233604).

Almost surely, 23961140 is an apocalyptic number.

3961140 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 3961140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606496).

3961140 is an abundant number, since it is smaller than the sum of its proper divisors (7251852).

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

3961140 is a wasteful number, since it uses less digits than its factorization.

3961140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 3961140 is about 1990.2612893789. The cubic root of 3961140 is about 158.2243781034.

The spelling of 3961140 in words is "three million, nine hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 617 642 1070 1234 1284 1605 1851 2140 2468 3085 3210 3702 6170 6420 7404 9255 12340 18510 37020 66019 132038 198057 264076 330095 396114 660190 792228 990285 1320380 1980570 3961140