Search a number
-
+
3020022120 = 2335178871669
BaseRepresentation
bin1011010000000001…
…1110000101101000
321210110201000112010
42310000132011220
522141111201440
61215401315520
7134560523133
oct26400360550
97713630463
103020022120
11130a7a6355
12703495ba0
133918a4a4b
1420913921a
1512a1eb580
hexb401e168

3020022120 has 128 divisors (see below), whose sum is σ = 9609580800. Its totient is φ = 756658176.

The previous prime is 3020022113. The next prime is 3020022121. The reversal of 3020022120 is 212200203.

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 = 3020022096 and 3020022105.

It is not an unprimeable number, because it can be changed into a prime (3020022121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1808646 + ... + 1810314.

It is an arithmetic number, because the mean of its divisors is an integer number (75074850).

Almost surely, 23020022120 is an apocalyptic number.

3020022120 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 3020022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804790400).

3020022120 is an abundant number, since it is smaller than the sum of its proper divisors (6589558680).

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

3020022120 is a wasteful number, since it uses less digits than its factorization.

3020022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2583 counting only the distinct ones).

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

The square root of 3020022120 is about 54954.7279130740. The cubic root of 3020022120 is about 1445.4510024473.

Adding to 3020022120 its reverse (212200203), we get a palindrome (3232222323).

The spelling of 3020022120 in words is "three billion, twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 887 1020 1669 1774 2040 2661 3338 3548 4435 5007 5322 6676 7096 8345 8870 10014 10644 13305 13352 15079 16690 17740 20028 21288 25035 26610 28373 30158 33380 35480 40056 45237 50070 53220 56746 60316 66760 75395 85119 90474 100140 106440 113492 120632 141865 150790 170238 180948 200280 226185 226984 283730 301580 340476 361896 425595 452370 567460 603160 680952 851190 904740 1134920 1480403 1702380 1809480 2960806 3404760 4441209 5921612 7402015 8882418 11843224 14804030 17764836 22206045 25166851 29608060 35529672 44412090 50333702 59216120 75500553 88824180 100667404 125834255 151001106 177648360 201334808 251668510 302002212 377502765 503337020 604004424 755005530 1006674040 1510011060 3020022120