Search a number
-
+
1352568 = 23378397
BaseRepresentation
bin101001010001101111000
32112201101010
411022031320
5321240233
644553520
714332230
oct5121570
92481333
101352568
11844228
125528a0
13384849
14272cc0
151bab63
hex14a378

1352568 has 64 divisors (see below), whose sum is σ = 3951360. Its totient is φ = 377856.

The previous prime is 1352557. The next prime is 1352597. The reversal of 1352568 is 8652531.

It is a Cunningham number, because it is equal to 11632-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13896 + ... + 13992.

It is an arithmetic number, because the mean of its divisors is an integer number (61740).

21352568 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 1352568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975680).

1352568 is an abundant number, since it is smaller than the sum of its proper divisors (2598792).

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

1352568 is a wasteful number, since it uses less digits than its factorization.

1352568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 1352568 is about 1162.9995700773. Note that the first 3 decimals coincide. The cubic root of 1352568 is about 110.5909790370.

The spelling of 1352568 in words is "one million, three hundred fifty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 97 166 168 194 249 291 332 388 498 581 582 664 679 776 996 1162 1164 1358 1743 1992 2037 2324 2328 2716 3486 4074 4648 5432 6972 8051 8148 13944 16102 16296 24153 32204 48306 56357 64408 96612 112714 169071 193224 225428 338142 450856 676284 1352568