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1316040 = 233511997
BaseRepresentation
bin101000001010011001000
32110212021020
411001103020
5314103130
644112440
714120565
oct5012310
92425236
101316040
11819840
12535720
1337102b
1426386c
151aee10
hex1414c8

1316040 has 64 divisors (see below), whose sum is σ = 4311360. Its totient is φ = 318720.

The previous prime is 1316039. The next prime is 1316041. The reversal of 1316040 is 406131.

1316040 = T219 + T220 + ... + T263.

It is an interprime number because it is at equal distance from previous prime (1316039) and next prime (1316041).

It is a super-2 number, since 2×13160402 = 3463922563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822 + ... + 1818.

It is an arithmetic number, because the mean of its divisors is an integer number (67365).

21316040 is an apocalyptic number.

1316040 is a gapful number since it is divisible by the number (10) 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 1316040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155680).

1316040 is an abundant number, since it is smaller than the sum of its proper divisors (2995320).

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

1316040 is a wasteful number, since it uses less digits than its factorization.

1316040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1316040 is about 1147.1878660446. The cubic root of 1316040 is about 109.5863250383.

Subtracting from 1316040 its reverse (406131), we obtain a palindrome (909909).

The spelling of 1316040 in words is "one million, three hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 997 1320 1994 2991 3988 4985 5982 7976 9970 10967 11964 14955 19940 21934 23928 29910 32901 39880 43868 54835 59820 65802 87736 109670 119640 131604 164505 219340 263208 329010 438680 658020 1316040