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4022920 = 2351141223
BaseRepresentation
bin1111010110001010001000
321120101102001
433112022020
52012213140
6222120344
746123426
oct17261210
97511361
104022920
1122a8530
1214200b4
13aab135
1476a116
15546e9a
hex3d6288

4022920 has 64 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1420800.

The previous prime is 4022911. The next prime is 4022929. The reversal of 4022920 is 292204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4022911) and next prime (4022929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17929 + ... + 18151.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 24022920 is an apocalyptic number.

4022920 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 4022920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

4022920 is an abundant number, since it is smaller than the sum of its proper divisors (6137720).

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

4022920 is a wasteful number, since it uses less digits than its factorization.

4022920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4022920 is about 2005.7218152077. The cubic root of 4022920 is about 159.0427215344.

The spelling of 4022920 in words is "four million, twenty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 223 328 410 440 446 451 820 892 902 1115 1640 1784 1804 2230 2255 2453 3608 4460 4510 4906 8920 9020 9143 9812 12265 18040 18286 19624 24530 36572 45715 49060 73144 91430 98120 100573 182860 201146 365720 402292 502865 804584 1005730 2011460 4022920