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3922020 = 22365269
BaseRepresentation
bin1110111101100001100100
321101021000000
432331201210
52001001040
6220021300
745223314
oct16754144
97337000
103922020
112239743
121391830
13a7422b
14741444
15527130
hex3bd864

3922020 has 84 divisors (see below), whose sum is σ = 12394620. Its totient is φ = 1041984.

The previous prime is 3922013. The next prime is 3922031. The reversal of 3922020 is 202293.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 3175524 = 864^2 + 1782^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3921984 and 3922002.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14446 + ... + 14714.

It is an arithmetic number, because the mean of its divisors is an integer number (147555).

Almost surely, 23922020 is an apocalyptic number.

3922020 is a gapful number since it is divisible by the number (30) 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 3922020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197310).

3922020 is an abundant number, since it is smaller than the sum of its proper divisors (8472600).

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

3922020 is a wasteful number, since it uses less digits than its factorization.

3922020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3922020 is about 1980.4090486564. The cubic root of 3922020 is about 157.7017821913.

The spelling of 3922020 in words is "three million, nine hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 269 270 324 405 486 538 540 729 807 810 972 1076 1215 1345 1458 1614 1620 2421 2430 2690 2916 3228 3645 4035 4842 4860 5380 7263 7290 8070 9684 12105 14526 14580 16140 21789 24210 29052 36315 43578 48420 65367 72630 87156 108945 130734 145260 196101 217890 261468 326835 392202 435780 653670 784404 980505 1307340 1961010 3922020