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2553012 = 2233711307
BaseRepresentation
bin1001101111010010110100
311210201002000
421233102310
51123144022
6130415300
730462120
oct11572264
94721060
102553012
111494130
12a31530
136b5077
144a6580
153566ac
hex26f4b4

2553012 has 96 divisors (see below), whose sum is σ = 8279040. Its totient is φ = 660960.

The previous prime is 2552987. The next prime is 2553017. The reversal of 2553012 is 2103552.

It is a happy number.

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

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8163 + ... + 8469.

It is an arithmetic number, because the mean of its divisors is an integer number (86240).

22553012 is an apocalyptic number.

2553012 is a gapful number since it is divisible by the number (22) 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 2553012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139520).

2553012 is an abundant number, since it is smaller than the sum of its proper divisors (5726028).

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

2553012 is a wasteful number, since it uses less digits than its factorization.

2553012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2553012 is about 1597.8147577238. The cubic root of 2553012 is about 136.6734903064.

Adding to 2553012 its reverse (2103552), we get a palindrome (4656564).

The spelling of 2553012 in words is "two million, five hundred fifty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 307 308 378 396 462 594 614 693 756 921 924 1188 1228 1386 1842 2079 2149 2763 2772 3377 3684 4158 4298 5526 6447 6754 8289 8316 8596 10131 11052 12894 13508 16578 19341 20262 23639 25788 30393 33156 38682 40524 47278 58023 60786 70917 77364 91179 94556 116046 121572 141834 182358 212751 232092 283668 364716 425502 638253 851004 1276506 2553012