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1315020 = 2235731101
BaseRepresentation
bin101000001000011001100
32110210212110
411001003030
5314040040
644104020
714114610
oct5010314
92423773
101315020
11818aa3
12535010
13370725
14263340
151ae980
hex1410cc

1315020 has 96 divisors (see below), whose sum is σ = 4386816. Its totient is φ = 288000.

The previous prime is 1315019. The next prime is 1315037. The reversal of 1315020 is 205131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1314987 and 1315005.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12970 + ... + 13070.

It is an arithmetic number, because the mean of its divisors is an integer number (45696).

21315020 is an apocalyptic number.

1315020 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 1315020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193408).

1315020 is an abundant number, since it is smaller than the sum of its proper divisors (3071796).

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

1315020 is a wasteful number, since it uses less digits than its factorization.

1315020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1315020 is about 1146.7432144992. The cubic root of 1315020 is about 109.5580060049.

1315020 divided by its product of nonzero digits (30) gives a palindrome (43834).

It can be divided in two parts, 131 and 5020, that added together give a triangular number (5151 = T101).

The spelling of 1315020 in words is "one million, three hundred fifteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 101 105 124 140 155 186 202 210 217 303 310 372 404 420 434 465 505 606 620 651 707 868 930 1010 1085 1212 1302 1414 1515 1860 2020 2121 2170 2604 2828 3030 3131 3255 3535 4242 4340 6060 6262 6510 7070 8484 9393 10605 12524 13020 14140 15655 18786 21210 21917 31310 37572 42420 43834 46965 62620 65751 87668 93930 109585 131502 187860 219170 263004 328755 438340 657510 1315020