Search a number
BaseRepresentation
bin101001011000111101000
32112220110000
411023013220
5321400024
645023000
714346060
oct5130750
92486400
101356264
11846a88
12554a60
13386430
142743a0
151bbcc9
hex14b1e8

1356264 has 160 divisors (see below), whose sum is σ = 4878720. Its totient is φ = 342144.

The previous prime is 1356259. The next prime is 1356269. The reversal of 1356264 is 4626531.

1356264 is a `hidden beast` number, since 1 + 35 + 626 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1356259) and next prime (1356269).

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

Its product of digits (4320) is a multiple of the sum of its prime divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1356269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58957 + ... + 58979.

It is an arithmetic number, because the mean of its divisors is an integer number (30492).

21356264 is an apocalyptic number.

1356264 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 1356264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439360).

1356264 is an abundant number, since it is smaller than the sum of its proper divisors (3522456).

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

1356264 is a wasteful number, since it uses less digits than its factorization.

1356264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 48 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 1356264 is about 1164.5874806128. The cubic root of 1356264 is about 110.6916203144.

The spelling of 1356264 in words is "one million, three hundred fifty-six thousand, two hundred sixty-four".