Search a number
-
+
1316952 = 233371367
BaseRepresentation
bin101000001100001011000
32110220112000
411001201120
5314120302
644121000
714123340
oct5014130
92426460
101316952
1181a49a
12536160
13371580
14263d20
151b031c
hex141858

1316952 has 128 divisors (see below), whose sum is σ = 4569600. Its totient is φ = 342144.

The previous prime is 1316951. The next prime is 1316963. The reversal of 1316952 is 2596131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316951) 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 31 ways as a sum of consecutive naturals, for example, 19623 + ... + 19689.

It is an arithmetic number, because the mean of its divisors is an integer number (35700).

21316952 is an apocalyptic number.

1316952 is a gapful number since it is divisible by the number (12) 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 1316952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284800).

1316952 is an abundant number, since it is smaller than the sum of its proper divisors (3252648).

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

1316952 is a wasteful number, since it uses less digits than its factorization.

1316952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 1316952 is about 1147.5852909479. The cubic root of 1316952 is about 109.6116331978.

The spelling of 1316952 in words is "one million, three hundred sixteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 67 72 78 84 91 104 108 117 126 134 156 168 182 189 201 216 234 252 268 273 312 351 364 378 402 468 469 504 536 546 603 702 728 756 804 819 871 936 938 1092 1206 1404 1407 1512 1608 1638 1742 1809 1876 2184 2412 2457 2613 2808 2814 3276 3484 3618 3752 4221 4824 4914 5226 5628 6097 6552 6968 7236 7839 8442 9828 10452 11256 12194 12663 14472 15678 16884 18291 19656 20904 23517 24388 25326 31356 33768 36582 47034 48776 50652 54873 62712 73164 94068 101304 109746 146328 164619 188136 219492 329238 438984 658476 1316952