Search a number
-
+
1317024 = 253217269
BaseRepresentation
bin101000001100010100000
32110220121200
411001202200
5314121044
644121200
714123502
oct5014240
92426550
101317024
1181a555
12536200
13371607
14263d72
151b0369
hex1418a0

1317024 has 72 divisors (see below), whose sum is σ = 3980340. Its totient is φ = 411648.

The previous prime is 1317013. The next prime is 1317031. The reversal of 1317024 is 4207131.

It can be written as a sum of positive squares in 2 ways, for example, as 1299600 + 17424 = 1140^2 + 132^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1316988 and 1317006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4762 + ... + 5030.

21317024 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 1317024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990170).

1317024 is an abundant number, since it is smaller than the sum of its proper divisors (2663316).

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

1317024 is a wasteful number, since it uses less digits than its factorization.

1317024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1317024 is about 1147.6166607365. The cubic root of 1317024 is about 109.6136307128.

The spelling of 1317024 in words is "one million, three hundred seventeen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 269 272 288 306 408 538 544 612 807 816 1076 1224 1614 1632 2152 2421 2448 3228 4304 4573 4842 4896 6456 8608 9146 9684 12912 13719 18292 19368 25824 27438 36584 38736 41157 54876 73168 77472 82314 109752 146336 164628 219504 329256 439008 658512 1317024