Search a number
-
+
1315944 = 233272373
BaseRepresentation
bin101000001010001101000
32110212010200
411001101220
5314102234
644112200
714120400
oct5012150
92425120
101315944
11819763
12535660
13370c86
14263800
151aed99
hex141468

1315944 has 72 divisors (see below), whose sum is σ = 4157010. Its totient is φ = 374976.

The previous prime is 1315943. The next prime is 1315949. The reversal of 1315944 is 4495131.

It can be written as a sum of positive squares in only one way, i.e., 1102500 + 213444 = 1050^2 + 462^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13159442 = 3463417222272, which contains 22 as substring.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1315943) 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 17 ways as a sum of consecutive naturals, for example, 3342 + ... + 3714.

21315944 is an apocalyptic number.

1315944 is a gapful number since it is divisible by the number (14) 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 1315944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078505).

1315944 is an abundant number, since it is smaller than the sum of its proper divisors (2841066).

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

1315944 is a wasteful number, since it uses less digits than its factorization.

1315944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1315944 is about 1147.1460238348. The cubic root of 1315944 is about 109.5836603414.

It can be divided in two parts, 13159 and 44, that added together give a triangular number (13203 = T162).

The spelling of 1315944 in words is "one million, three hundred fifteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 373 392 441 504 588 746 882 1119 1176 1492 1764 2238 2611 2984 3357 3528 4476 5222 6714 7833 8952 10444 13428 15666 18277 20888 23499 26856 31332 36554 46998 54831 62664 73108 93996 109662 146216 164493 187992 219324 328986 438648 657972 1315944