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3121320 = 233519372
BaseRepresentation
bin1011111010000010101000
312212120122110
423322002220
51244340240
6150522320
735350026
oct13720250
95776573
103121320
111842104
1210663a0
13853947
145b3716
15419c80
hex2fa0a8

3121320 has 96 divisors (see below), whose sum is σ = 10130400. Its totient is φ = 767232.

The previous prime is 3121303. The next prime is 3121333. The reversal of 3121320 is 231213.

It is a happy number.

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 = 3121296 and 3121305.

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, 84342 + ... + 84378.

It is an arithmetic number, because the mean of its divisors is an integer number (105525).

Almost surely, 23121320 is an apocalyptic number.

3121320 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 3121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065200).

3121320 is an abundant number, since it is smaller than the sum of its proper divisors (7009080).

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

3121320 is a wasteful number, since it uses less digits than its factorization.

3121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3121320 is about 1766.7257851744. The cubic root of 3121320 is about 146.1434756474.

Adding to 3121320 its reverse (231213), we get a palindrome (3352533).

The spelling of 3121320 in words is "three million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 37 38 40 57 60 74 76 95 111 114 120 148 152 185 190 222 228 285 296 370 380 444 456 555 570 703 740 760 888 1110 1140 1369 1406 1480 2109 2220 2280 2738 2812 3515 4107 4218 4440 5476 5624 6845 7030 8214 8436 10545 10952 13690 14060 16428 16872 20535 21090 26011 27380 28120 32856 41070 42180 52022 54760 78033 82140 84360 104044 130055 156066 164280 208088 260110 312132 390165 520220 624264 780330 1040440 1560660 3121320