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3985740 = 2233511261
BaseRepresentation
bin1111001101000101001100
321111111102000
433031011030
52010020430
6221232300
745610143
oct17150514
97444360
103985740
112282600
121402690
13a97235
1475a75a
1553ae60
hex3cd14c

3985740 has 144 divisors (see below), whose sum is σ = 13853280. Its totient is φ = 950400.

The previous prime is 3985721. The next prime is 3985777. The reversal of 3985740 is 475893.

3985740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39857402 = 31772246695200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3985695 and 3985704.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 65310 + ... + 65370.

Almost surely, 23985740 is an apocalyptic number.

3985740 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 3985740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926640).

3985740 is an abundant number, since it is smaller than the sum of its proper divisors (9867540).

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

3985740 is a wasteful number, since it uses less digits than its factorization.

3985740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3985740 is about 1996.4318170176. The cubic root of 3985740 is about 158.5512444308.

The spelling of 3985740 in words is "three million, nine hundred eighty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 61 66 90 99 108 110 121 122 132 135 165 180 183 198 220 242 244 270 297 305 330 363 366 396 484 495 540 549 594 605 610 660 671 726 732 915 990 1089 1098 1188 1210 1220 1342 1452 1485 1647 1815 1830 1980 2013 2178 2196 2420 2684 2745 2970 3267 3294 3355 3630 3660 4026 4356 5445 5490 5940 6039 6534 6588 6710 7260 7381 8052 8235 10065 10890 10980 12078 13068 13420 14762 16335 16470 18117 20130 21780 22143 24156 29524 30195 32670 32940 36234 36905 40260 44286 60390 65340 66429 72468 73810 88572 90585 110715 120780 132858 147620 181170 199287 221430 265716 332145 362340 398574 442860 664290 797148 996435 1328580 1992870 3985740