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4402020 = 2235747223
BaseRepresentation
bin10000110010101101100100
322021122102210
4100302231210
52111331040
6234203420
752262610
oct20625544
98248383
104402020
112537337
121583570
13bb185c
14828340
155be480
hex432b64

4402020 has 96 divisors (see below), whose sum is σ = 14450688. Its totient is φ = 980352.

The previous prime is 4402019. The next prime is 4402033. The reversal of 4402020 is 202044.

It is a Harshad number since it is a multiple of its sum of digits (12).

4402020 is a modest number, since divided by 2020 gives 440 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 4401987 and 4402005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19629 + ... + 19851.

It is an arithmetic number, because the mean of its divisors is an integer number (150528).

Almost surely, 24402020 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 4402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225344).

4402020 is an abundant number, since it is smaller than the sum of its proper divisors (10048668).

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

4402020 is a wasteful number, since it uses less digits than its factorization.

4402020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4402020 is about 2098.0991396976. The cubic root of 4402020 is about 163.8893264802.

Adding to 4402020 its reverse (202044), we get a palindrome (4604064).

The spelling of 4402020 in words is "four million, four hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 223 235 282 329 420 446 470 564 658 669 705 892 940 987 1115 1316 1338 1410 1561 1645 1974 2230 2676 2820 3122 3290 3345 3948 4460 4683 4935 6244 6580 6690 7805 9366 9870 10481 13380 15610 18732 19740 20962 23415 31220 31443 41924 46830 52405 62886 73367 93660 104810 125772 146734 157215 209620 220101 293468 314430 366835 440202 628860 733670 880404 1100505 1467340 2201010 4402020