Search a number
-
+
1362928 = 24743283
BaseRepresentation
bin101001100101111110000
32120020120211
411030233300
5322103203
645113504
714404360
oct5145760
92506524
101362928
11850a96
12558894
13389488
142769a0
151bdc6d
hex14cbf0

1362928 has 40 divisors (see below), whose sum is σ = 3099008. Its totient is φ = 568512.

The previous prime is 1362919. The next prime is 1362929. The reversal of 1362928 is 8292631.

It is a self number, because there is not a number n which added to its sum of digits gives 1362928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1362929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4675 + ... + 4957.

21362928 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 1362928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549504).

1362928 is an abundant number, since it is smaller than the sum of its proper divisors (1736080).

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

1362928 is a wasteful number, since it uses less digits than its factorization.

1362928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 1362928 is about 1167.4450736544. The cubic root of 1362928 is about 110.8726185319.

The spelling of 1362928 in words is "one million, three hundred sixty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 283 301 344 566 602 688 1132 1204 1981 2264 2408 3962 4528 4816 7924 12169 15848 24338 31696 48676 85183 97352 170366 194704 340732 681464 1362928