Search a number
-
+
1436864 = 261113157
BaseRepresentation
bin101011110110011000000
32201000000012
411132303000
5331434424
650444052
715133052
oct5366300
92630005
101436864
118a15a0
12593628
133b4020
142958d2
151d5b0e
hex15ecc0

1436864 has 56 divisors (see below), whose sum is σ = 3371088. Its totient is φ = 599040.

The previous prime is 1436849. The next prime is 1436867. The reversal of 1436864 is 4686341.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1436864.

It is not an unprimeable number, because it can be changed into a prime (1436867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9074 + ... + 9230.

It is an arithmetic number, because the mean of its divisors is an integer number (60198).

21436864 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 1436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685544).

1436864 is an abundant number, since it is smaller than the sum of its proper divisors (1934224).

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

1436864 is a wasteful number, since it uses less digits than its factorization.

1436864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 1436864 is about 1198.6926211502. The cubic root of 1436864 is about 112.8422891920.

It can be divided in two parts, 143 and 6864, that added together give a palindrome (7007).

The spelling of 1436864 in words is "one million, four hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 157 176 208 286 314 352 416 572 628 704 832 1144 1256 1727 2041 2288 2512 3454 4082 4576 5024 6908 8164 9152 10048 13816 16328 22451 27632 32656 44902 55264 65312 89804 110528 130624 179608 359216 718432 1436864