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3013020 = 2232519881
BaseRepresentation
bin1011011111100110011100
312200002002100
423133212130
51232404040
6144325100
734416213
oct13374634
95602070
103013020
1117787aa
121013790
1381656a
1458607a
153e7b30
hex2df99c

3013020 has 72 divisors (see below), whose sum is σ = 9631440. Its totient is φ = 760320.

The previous prime is 3013019. The next prime is 3013037. The reversal of 3013020 is 203103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3012993 and 3013011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2980 + ... + 3860.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

Almost surely, 23013020 is an apocalyptic number.

3013020 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 3013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815720).

3013020 is an abundant number, since it is smaller than the sum of its proper divisors (6618420).

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

3013020 is a wasteful number, since it uses less digits than its factorization.

3013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3013020 is about 1735.8052886197. The cubic root of 3013020 is about 144.4333013539.

Adding to 3013020 its reverse (203103), we get a palindrome (3216123).

It can be divided in two parts, 301 and 3020, that added together give a triangular number (3321 = T81).

The spelling of 3013020 in words is "three million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 881 1140 1710 1762 2643 3420 3524 4405 5286 7929 8810 10572 13215 15858 16739 17620 26430 31716 33478 39645 50217 52860 66956 79290 83695 100434 150651 158580 167390 200868 251085 301302 334780 502170 602604 753255 1004340 1506510 3013020