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3053120 = 26572947
BaseRepresentation
bin1011101001011001000000
312202010002112
423221121000
51240144440
6145234452
734644140
oct13513100
95663075
103053120
1117a5944
121032a28
1382b8a5
14596920
15404965
hex2e9640

3053120 has 112 divisors (see below), whose sum is σ = 8778240. Its totient is φ = 989184.

The previous prime is 3053119. The next prime is 3053131. The reversal of 3053120 is 213503.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 3053095 and 3053104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64937 + ... + 64983.

Almost surely, 23053120 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 3053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389120).

3053120 is an abundant number, since it is smaller than the sum of its proper divisors (5725120).

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

3053120 is a wasteful number, since it uses less digits than its factorization.

3053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 3053120 is about 1747.3179447370. The cubic root of 3053120 is about 145.0712293716.

Adding to 3053120 its reverse (213503), we get a palindrome (3266623).

The spelling of 3053120 in words is "three million, fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 47 56 58 64 70 80 94 112 116 140 145 160 188 203 224 232 235 280 290 320 329 376 406 448 464 470 560 580 658 752 812 928 940 1015 1120 1160 1316 1363 1504 1624 1645 1856 1880 2030 2240 2320 2632 2726 3008 3248 3290 3760 4060 4640 5264 5452 6496 6580 6815 7520 8120 9280 9541 10528 10904 12992 13160 13630 15040 16240 19082 21056 21808 26320 27260 32480 38164 43616 47705 52640 54520 64960 76328 87232 95410 105280 109040 152656 190820 218080 305312 381640 436160 610624 763280 1526560 3053120