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3949140 = 2235136183
BaseRepresentation
bin1111000100001001010100
321102122012110
433010021110
52002333030
6220351020
745365346
oct17041124
97378173
103949140
112258058
1213a5470
13a83690
1474b296
155301b0
hex3c4254

3949140 has 96 divisors (see below), whose sum is σ = 12249216. Its totient is φ = 944640.

The previous prime is 3949111. The next prime is 3949147. The reversal of 3949140 is 419493.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3949098 and 3949107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3949147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47539 + ... + 47621.

It is an arithmetic number, because the mean of its divisors is an integer number (127596).

Almost surely, 23949140 is an apocalyptic number.

3949140 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 3949140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124608).

3949140 is an abundant number, since it is smaller than the sum of its proper divisors (8300076).

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

3949140 is a wasteful number, since it uses less digits than its factorization.

3949140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3949140 is about 1987.2443231772. The cubic root of 3949140 is about 158.0644398794.

The spelling of 3949140 in words is "three million, nine hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 61 65 78 83 122 130 156 166 183 195 244 249 260 305 332 366 390 415 498 610 732 780 793 830 915 996 1079 1220 1245 1586 1660 1830 2158 2379 2490 3172 3237 3660 3965 4316 4758 4980 5063 5395 6474 7930 9516 10126 10790 11895 12948 15189 15860 16185 20252 21580 23790 25315 30378 32370 47580 50630 60756 64740 65819 75945 101260 131638 151890 197457 263276 303780 329095 394914 658190 789828 987285 1316380 1974570 3949140