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4024080 = 2437523
BaseRepresentation
bin1111010110011100010000
321120110000000
433112130100
52012232310
6222130000
746130004
oct17263420
97513000
104024080
1122a9395
121420900
13aab818
1476a704
155474c0
hex3d6710

4024080 has 160 divisors (see below), whose sum is σ = 14641920. Its totient is φ = 1026432.

The previous prime is 4024073. The next prime is 4024091. The reversal of 4024080 is 804204.

It is a happy number.

4024080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 174949 + ... + 174971.

It is an arithmetic number, because the mean of its divisors is an integer number (91512).

Almost surely, 24024080 is an apocalyptic number.

4024080 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 4024080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320960).

4024080 is an abundant number, since it is smaller than the sum of its proper divisors (10617840).

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

4024080 is an equidigital number, since it uses as much as digits as its factorization.

4024080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4024080 is about 2006.0109670687. The cubic root of 4024080 is about 159.0580066033.

Adding to 4024080 its reverse (804204), we get a palindrome (4828284).

The spelling of 4024080 in words is "four million, twenty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 81 90 92 108 115 120 135 138 144 162 180 184 207 216 230 240 243 270 276 324 345 360 368 405 414 432 460 486 540 552 621 648 690 720 729 810 828 920 972 1035 1080 1104 1215 1242 1296 1380 1458 1620 1656 1840 1863 1944 2070 2160 2187 2430 2484 2760 2916 3105 3240 3312 3645 3726 3888 4140 4374 4860 4968 5520 5589 5832 6210 6480 7290 7452 8280 8748 9315 9720 9936 10935 11178 11664 12420 14580 14904 16560 16767 17496 18630 19440 21870 22356 24840 27945 29160 29808 33534 34992 37260 43740 44712 49680 50301 55890 58320 67068 74520 83835 87480 89424 100602 111780 134136 149040 167670 174960 201204 223560 251505 268272 335340 402408 447120 503010 670680 804816 1006020 1341360 2012040 4024080