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1013144 = 231129397
BaseRepresentation
bin11110111010110011000
31220110202212
43313112120
5224410034
633414252
711416526
oct3672630
91813685
101013144
11632210
1240a388
132961c2
141c5316
151502ce
hexf7598

1013144 has 32 divisors (see below), whose sum is σ = 2149200. Its totient is φ = 443520.

The previous prime is 1013143. The next prime is 1013153. The reversal of 1013144 is 4413101.

It is a happy number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2354 + ... + 2750.

21013144 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 1013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074600).

1013144 is an abundant number, since it is smaller than the sum of its proper divisors (1136056).

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

1013144 is a wasteful number, since it uses less digits than its factorization.

1013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1013144 is about 1006.5505451789. The cubic root of 1013144 is about 100.4362276209.

Adding to 1013144 its reverse (4413101), we get a palindrome (5426245).

The spelling of 1013144 in words is "one million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 397 638 794 1276 1588 2552 3176 4367 8734 11513 17468 23026 34936 46052 92104 126643 253286 506572 1013144