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4082720 = 255171979
BaseRepresentation
bin1111100100110000100000
321200102102212
433210300200
52021121340
6223301252
746462655
oct17446040
97612385
104082720
112339454
12144a828
13acc415
14783c2c
15559a65
hex3e4c20

4082720 has 96 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1437696.

The previous prime is 4082719. The next prime is 4082747. The reversal of 4082720 is 272804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51641 + ... + 51719.

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

Almost surely, 24082720 is an apocalyptic number.

4082720 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 4082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

4082720 is an abundant number, since it is smaller than the sum of its proper divisors (6803680).

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

4082720 is a wasteful number, since it uses less digits than its factorization.

4082720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 4082720 is about 2020.5741758223. The cubic root of 4082720 is about 159.8268961199.

The spelling of 4082720 in words is "four million, eighty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 68 76 79 80 85 95 136 152 158 160 170 190 272 304 316 323 340 380 395 544 608 632 646 680 760 790 1264 1292 1343 1360 1501 1520 1580 1615 2528 2584 2686 2720 3002 3040 3160 3230 5168 5372 6004 6320 6460 6715 7505 10336 10744 12008 12640 12920 13430 15010 21488 24016 25517 25840 26860 30020 42976 48032 51034 51680 53720 60040 102068 107440 120080 127585 204136 214880 240160 255170 408272 510340 816544 1020680 2041360 4082720