Search a number
-
+
1164436 = 227213457
BaseRepresentation
bin100011100010010010100
32012011022021
410130102110
5244230221
640542524
712616600
oct4342224
92164267
101164436
11725949
12481a44
1331a020
14224500
15180041
hex11c494

1164436 has 36 divisors (see below), whose sum is σ = 2558388. Its totient is φ = 459648.

The previous prime is 1164433. The next prime is 1164439. The reversal of 1164436 is 6344611.

1164436 = T45 + T46 + ... + T191.

It is an interprime number because it is at equal distance from previous prime (1164433) and next prime (1164439).

It can be written as a sum of positive squares in 2 ways, for example, as 592900 + 571536 = 770^2 + 756^2 .

It is a super-2 number, since 2×11644362 = 2711822396192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1164436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2320 + ... + 2776.

21164436 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 1164436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279194).

1164436 is an abundant number, since it is smaller than the sum of its proper divisors (1393952).

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

1164436 is a wasteful number, since it uses less digits than its factorization.

1164436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 479 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 1164436 is about 1079.0903576624. The cubic root of 1164436 is about 105.2055233791.

It can be divided in two parts, 1164 and 436, that added together give a square (1600 = 402).

The spelling of 1164436 in words is "one million, one hundred sixty-four thousand, four hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 457 637 914 1274 1828 2548 3199 5941 6398 11882 12796 22393 23764 41587 44786 83174 89572 166348 291109 582218 1164436