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4021320 = 2335233147
BaseRepresentation
bin1111010101110001001000
321120022012210
433111301020
52012140240
6222105120
746115652
oct17256110
97508183
104021320
1122a7306
12141b1a0
13aaa4a4
147696d2
15546780
hex3d5c48

4021320 has 128 divisors (see below), whose sum is σ = 13271040. Its totient is φ = 971520.

The previous prime is 4021309. The next prime is 4021349. The reversal of 4021320 is 231204.

4021320 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 4021296 and 4021305.

It is a congruent number.

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, 85537 + ... + 85583.

It is an arithmetic number, because the mean of its divisors is an integer number (103680).

Almost surely, 24021320 is an apocalyptic number.

4021320 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 4021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635520).

4021320 is an abundant number, since it is smaller than the sum of its proper divisors (9249720).

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

4021320 is a wasteful number, since it uses less digits than its factorization.

4021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4021320 is about 2005.3229166396. The cubic root of 4021320 is about 159.0216338587.

Adding to 4021320 its reverse (231204), we get a palindrome (4252524).

The spelling of 4021320 in words is "four million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 31 40 46 47 60 62 69 92 93 94 115 120 124 138 141 155 184 186 188 230 235 248 276 282 310 345 372 376 460 465 470 552 564 620 690 705 713 744 920 930 940 1081 1128 1240 1380 1410 1426 1457 1860 1880 2139 2162 2760 2820 2852 2914 3243 3565 3720 4278 4324 4371 5405 5640 5704 5828 6486 7130 7285 8556 8648 8742 10695 10810 11656 12972 14260 14570 16215 17112 17484 21390 21620 21855 25944 28520 29140 32430 33511 34968 42780 43240 43710 58280 64860 67022 85560 87420 100533 129720 134044 167555 174840 201066 268088 335110 402132 502665 670220 804264 1005330 1340440 2010660 4021320