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4068120 = 2335729167
BaseRepresentation
bin1111100001001100011000
321122200102010
433201030120
52020134440
6223105520
746402260
oct17411430
97580363
104068120
112329491
1214422a0
13ac5894
1477c7a0
15555580
hex3e1318

4068120 has 128 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 892416.

The previous prime is 4068107. The next prime is 4068131. The reversal of 4068120 is 218604.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24277 + ... + 24443.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 24068120 is an apocalyptic number.

4068120 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 4068120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

4068120 is an abundant number, since it is smaller than the sum of its proper divisors (10447080).

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

4068120 is a wasteful number, since it uses less digits than its factorization.

4068120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4068120 is about 2016.9581056631. The cubic root of 4068120 is about 159.6361523871.

The spelling of 4068120 in words is "four million, sixty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 167 168 174 203 210 232 280 290 334 348 406 420 435 501 580 609 668 696 812 835 840 870 1002 1015 1160 1169 1218 1336 1624 1670 1740 2004 2030 2338 2436 2505 3045 3340 3480 3507 4008 4060 4676 4843 4872 5010 5845 6090 6680 7014 8120 9352 9686 10020 11690 12180 14028 14529 17535 19372 20040 23380 24215 24360 28056 29058 33901 35070 38744 46760 48430 58116 67802 70140 72645 96860 101703 116232 135604 140280 145290 169505 193720 203406 271208 290580 339010 406812 508515 581160 678020 813624 1017030 1356040 2034060 4068120