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3836140 = 2257114753
BaseRepresentation
bin1110101000100011101100
321012220012021
432220203230
51440224030
6214115524
744415040
oct16504354
97186167
103836140
112190170
12134bba4
13a44109
1471c020
1550b97a
hex3a88ec

3836140 has 96 divisors (see below), whose sum is σ = 10450944. Its totient is φ = 1148160.

The previous prime is 3836113. The next prime is 3836143. The reversal of 3836140 is 416383.

3836140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3836143) 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, 72354 + ... + 72406.

It is an arithmetic number, because the mean of its divisors is an integer number (108864).

Almost surely, 23836140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3836140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472).

3836140 is an abundant number, since it is smaller than the sum of its proper divisors (6614804).

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

3836140 is a wasteful number, since it uses less digits than its factorization.

3836140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 3836140 is about 1958.6066475942. The cubic root of 3836140 is about 156.5422179548.

The spelling of 3836140 in words is "three million, eight hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 47 53 55 70 77 94 106 110 140 154 188 212 220 235 265 308 329 371 385 470 517 530 583 658 742 770 940 1034 1060 1166 1316 1484 1540 1645 1855 2068 2332 2491 2585 2915 3290 3619 3710 4081 4982 5170 5830 6580 7238 7420 8162 9964 10340 11660 12455 14476 16324 17437 18095 20405 24910 27401 34874 36190 40810 49820 54802 69748 72380 81620 87185 109604 137005 174370 191807 274010 348740 383614 548020 767228 959035 1918070 3836140