Search a number
-
+
1013364 = 223311853
BaseRepresentation
bin11110111011001110100
31220111002000
43313121310
5224411424
633415300
711420262
oct3673164
91814060
101013364
116323a0
1240a530
13296331
141c5432
151503c9
hexf7674

1013364 has 48 divisors (see below), whose sum is σ = 2869440. Its totient is φ = 306720.

The previous prime is 1013329. The next prime is 1013377. The reversal of 1013364 is 4633101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762 + ... + 1614.

It is an arithmetic number, because the mean of its divisors is an integer number (59780).

21013364 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 1013364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434720).

1013364 is an abundant number, since it is smaller than the sum of its proper divisors (1856076).

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

1013364 is a wasteful number, since it uses less digits than its factorization.

1013364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1013364 is about 1006.6598233763. The cubic root of 1013364 is about 100.4434968643.

Adding to 1013364 its reverse (4633101), we get a palindrome (5646465).

The spelling of 1013364 in words is "one million, thirteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 853 1188 1706 2559 3412 5118 7677 9383 10236 15354 18766 23031 28149 30708 37532 46062 56298 84447 92124 112596 168894 253341 337788 506682 1013364