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4125240 = 2332571637
BaseRepresentation
bin1111101111001000111000
321202120202200
433233020320
52024001430
6224230200
750030640
oct17571070
97676680
104125240
112368399
12146b360
13b15892
14795520
15567460
hex3ef238

4125240 has 96 divisors (see below), whose sum is σ = 15331680. Its totient is φ = 942336.

The previous prime is 4125229. The next prime is 4125259. The reversal of 4125240 is 425214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1702 + ... + 3338.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

Almost surely, 24125240 is an apocalyptic number.

4125240 is a gapful number since it is divisible by the number (40) 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 4125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665840).

4125240 is an abundant number, since it is smaller than the sum of its proper divisors (11206440).

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

4125240 is a wasteful number, since it uses less digits than its factorization.

4125240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4125240 is about 2031.0686842153. The cubic root of 4125240 is about 160.3798267758.

It can be divided in two parts, 41 and 25240, that added together give a square (25281 = 1592).

The spelling of 4125240 in words is "four million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 1637 2520 3274 4911 6548 8185 9822 11459 13096 14733 16370 19644 22918 24555 29466 32740 34377 39288 45836 49110 57295 58932 65480 68754 73665 91672 98220 103131 114590 117864 137508 147330 171885 196440 206262 229180 275016 294660 343770 412524 458360 515655 589320 687540 825048 1031310 1375080 2062620 4125240