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2331420 = 2235721361
BaseRepresentation
bin1000111001001100011100
311101110002220
420321030130
51044101140
6121545340
725550100
oct10711434
94343086
102331420
1113526a3
12945250
13638250
14449900
15310bd0
hex23931c

2331420 has 144 divisors (see below), whose sum is σ = 8311968. Its totient is φ = 483840.

The previous prime is 2331419. The next prime is 2331421. The reversal of 2331420 is 241332.

It is an interprime number because it is at equal distance from previous prime (2331419) and next prime (2331421).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 2331420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38190 + ... + 38250.

It is an arithmetic number, because the mean of its divisors is an integer number (57722).

22331420 is an apocalyptic number.

2331420 is a gapful number since it is divisible by the number (20) 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 2331420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155984).

2331420 is an abundant number, since it is smaller than the sum of its proper divisors (5980548).

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

2331420 is a wasteful number, since it uses less digits than its factorization.

2331420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2331420 is about 1526.8988178658. The cubic root of 2331420 is about 132.5989767170.

Adding to 2331420 its reverse (241332), we get a palindrome (2572752).

It can be divided in two parts, 233 and 1420, that added together give a triangular number (1653 = T57).

The spelling of 2331420 in words is "two million, three hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 61 65 70 78 84 91 98 105 122 130 140 147 156 182 183 195 196 210 244 245 260 273 294 305 364 366 390 420 427 455 490 546 588 610 637 732 735 780 793 854 910 915 980 1092 1220 1274 1281 1365 1470 1586 1708 1820 1830 1911 2135 2379 2548 2562 2730 2940 2989 3172 3185 3660 3822 3965 4270 4758 5124 5460 5551 5978 6370 6405 7644 7930 8540 8967 9516 9555 11102 11895 11956 12740 12810 14945 15860 16653 17934 19110 22204 23790 25620 27755 29890 33306 35868 38220 38857 44835 47580 55510 59780 66612 77714 83265 89670 111020 116571 155428 166530 179340 194285 233142 333060 388570 466284 582855 777140 1165710 2331420