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4092240 = 243517259
BaseRepresentation
bin1111100111000101010000
321200220111110
433213011100
52021422430
6223413320
746532505
oct17470520
97626443
104092240
112345619
121454240
13b03859
147874ac
1555c7b0
hex3e7150

4092240 has 120 divisors (see below), whose sum is σ = 13704480. Its totient is φ = 1009664.

The previous prime is 4092233. The next prime is 4092247. The reversal of 4092240 is 422904.

4092240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4092233) and next prime (4092247).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4092247) 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 23 ways as a sum of consecutive naturals, for example, 69331 + ... + 69389.

It is an arithmetic number, because the mean of its divisors is an integer number (114204).

Almost surely, 24092240 is an apocalyptic number.

4092240 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 4092240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852240).

4092240 is an abundant number, since it is smaller than the sum of its proper divisors (9612240).

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

4092240 is a wasteful number, since it uses less digits than its factorization.

4092240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4092240 is about 2022.9285701675. The cubic root of 4092240 is about 159.9510266783.

The spelling of 4092240 in words is "four million, ninety-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 59 60 68 80 85 102 118 120 136 170 177 204 236 240 255 272 289 295 340 354 408 472 510 578 590 680 708 816 867 885 944 1003 1020 1156 1180 1360 1416 1445 1734 1770 2006 2040 2312 2360 2832 2890 3009 3468 3540 4012 4080 4335 4624 4720 5015 5780 6018 6936 7080 8024 8670 10030 11560 12036 13872 14160 15045 16048 17051 17340 20060 23120 24072 30090 34102 34680 40120 48144 51153 60180 68204 69360 80240 85255 102306 120360 136408 170510 204612 240720 255765 272816 341020 409224 511530 682040 818448 1023060 1364080 2046120 4092240