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1013310 = 2365139
BaseRepresentation
bin11110111011000111110
31220111000000
43313120332
5224411220
633415130
711420154
oct3673076
91814000
101013310
11632351
1240a4a6
132962bc
141c53d4
15150390
hexf763e

1013310 has 56 divisors (see below), whose sum is σ = 2754360. Its totient is φ = 268272.

The previous prime is 1013291. The next prime is 1013321. The reversal of 1013310 is 133101.

Adding to 1013310 its reverse (133101), we get a palindrome (1146411).

It is a super-2 number, since 2×10133102 = 2053594312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1013292 and 1013301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7221 + ... + 7359.

It is an arithmetic number, because the mean of its divisors is an integer number (49185).

21013310 is an apocalyptic number.

1013310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377180).

1013310 is an abundant number, since it is smaller than the sum of its proper divisors (1741050).

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

1013310 is an equidigital number, since it uses as much as digits as its factorization.

1013310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1013310 is about 1006.6330016446. The cubic root of 1013310 is about 100.4417126929.

The spelling of 1013310 in words is "one million, thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 139 162 243 270 278 405 417 486 695 729 810 834 1215 1251 1390 1458 2085 2430 2502 3645 3753 4170 6255 7290 7506 11259 12510 18765 22518 33777 37530 56295 67554 101331 112590 168885 202662 337770 506655 1013310