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3013120 = 29511107
BaseRepresentation
bin1011011111101000000000
312200002020001
423133220000
51232404440
6144325344
734416415
oct13375000
95602201
103013120
111778890
121013854
13816616
1458610c
153e7b9a
hex2dfa00

3013120 has 80 divisors (see below), whose sum is σ = 7954848. Its totient is φ = 1085440.

The previous prime is 3013099. The next prime is 3013147. The reversal of 3013120 is 213103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 3013097 and 3013106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28107 + ... + 28213.

Almost surely, 23013120 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 3013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977424).

3013120 is an abundant number, since it is smaller than the sum of its proper divisors (4941728).

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

3013120 is a wasteful number, since it uses less digits than its factorization.

3013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 3013120 is about 1735.8340934548. The cubic root of 3013120 is about 144.4348992158.

Adding to 3013120 its reverse (213103), we get a palindrome (3226223).

The spelling of 3013120 in words is "three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 107 110 128 160 176 214 220 256 320 352 428 440 512 535 640 704 856 880 1070 1177 1280 1408 1712 1760 2140 2354 2560 2816 3424 3520 4280 4708 5632 5885 6848 7040 8560 9416 11770 13696 14080 17120 18832 23540 27392 28160 34240 37664 47080 54784 68480 75328 94160 136960 150656 188320 273920 301312 376640 602624 753280 1506560 3013120