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1146420 = 2233511193
BaseRepresentation
bin100010111111000110100
32011020121000
410113320310
5243141140
640323300
712513222
oct4277064
92136530
101146420
11713360
12473530
13311a72
1421bb12
15179a30
hex117e34

1146420 has 96 divisors (see below), whose sum is σ = 3911040. Its totient is φ = 276480.

The previous prime is 1146419. The next prime is 1146421. The reversal of 1146420 is 246411.

1146420 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (1146419) and next prime (1146421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1146393 and 1146402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5844 + ... + 6036.

It is an arithmetic number, because the mean of its divisors is an integer number (40740).

21146420 is an apocalyptic number.

1146420 is a gapful number since it is divisible by the number (10) 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 1146420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955520).

1146420 is an abundant number, since it is smaller than the sum of its proper divisors (2764620).

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

1146420 is a wasteful number, since it uses less digits than its factorization.

1146420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1146420 is about 1070.7100447834. The cubic root of 1146420 is about 104.6601255373.

Subtracting from 1146420 its reverse (246411), we obtain a palindrome (900009).

The spelling of 1146420 in words is "one million, one hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 193 198 220 270 297 330 386 396 495 540 579 594 660 772 965 990 1158 1188 1485 1737 1930 1980 2123 2316 2895 2970 3474 3860 4246 5211 5790 5940 6369 6948 8492 8685 10422 10615 11580 12738 17370 19107 20844 21230 25476 26055 31845 34740 38214 42460 52110 57321 63690 76428 95535 104220 114642 127380 191070 229284 286605 382140 573210 1146420