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1013088 = 25361173
BaseRepresentation
bin11110111010101100000
31220110200210
43313111200
5224404323
633414120
711416416
oct3672540
91813623
101013088
1163216a
1240a340
1329617b
141c52b6
15150293
hexf7560

1013088 has 48 divisors (see below), whose sum is σ = 2718576. Its totient is φ = 330240.

The previous prime is 1013063. The next prime is 1013143. The reversal of 1013088 is 8803101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5770 + ... + 5942.

It is an arithmetic number, because the mean of its divisors is an integer number (56637).

21013088 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 1013088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359288).

1013088 is an abundant number, since it is smaller than the sum of its proper divisors (1705488).

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

1013088 is a wasteful number, since it uses less digits than its factorization.

1013088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1013088 is about 1006.5227270161. The cubic root of 1013088 is about 100.4343771000.

Adding to 1013088 its reverse (8803101), we get a palindrome (9816189).

The spelling of 1013088 in words is "one million, thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 173 183 244 346 366 488 519 692 732 976 1038 1384 1464 1952 2076 2768 2928 4152 5536 5856 8304 10553 16608 21106 31659 42212 63318 84424 126636 168848 253272 337696 506544 1013088