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8010420 = 22351153229
BaseRepresentation
bin11110100011101010110100
3120001222020020
4132203222310
54022313140
6443405140
7125041665
oct36435264
916058206
108010420
114581390
1228237b0
1318760c2
1410c736c
15a836d0
hex7a3ab4

8010420 has 96 divisors (see below), whose sum is σ = 25038720. Its totient is φ = 1896960.

The previous prime is 8010407. The next prime is 8010421. The reversal of 8010420 is 240108.

8010420 is digitally balanced in base 5, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 8010420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8010421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34866 + ... + 35094.

It is an arithmetic number, because the mean of its divisors is an integer number (260820).

Almost surely, 28010420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519360).

8010420 is an abundant number, since it is smaller than the sum of its proper divisors (17028300).

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

8010420 is a wasteful number, since it uses less digits than its factorization.

8010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 8010420 is about 2830.2685384959. The cubic root of 8010420 is about 200.0867956605.

Adding to 8010420 its reverse (240108), we get a palindrome (8250528).

The spelling of 8010420 in words is "eight million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 110 132 159 165 212 220 229 265 318 330 458 530 583 636 660 687 795 916 1060 1145 1166 1374 1590 1749 2290 2332 2519 2748 2915 3180 3435 3498 4580 5038 5830 6870 6996 7557 8745 10076 11660 12137 12595 13740 15114 17490 24274 25190 30228 34980 36411 37785 48548 50380 60685 72822 75570 121370 133507 145644 151140 182055 242740 267014 364110 400521 534028 667535 728220 801042 1335070 1602084 2002605 2670140 4005210 8010420