Search a number
-
+
365796 = 22341129
BaseRepresentation
bin1011001010011100100
3200120210000
41121103210
543201141
611501300
73052314
oct1312344
9616700
10365796
1122a912
12157830
13ca662
1497444
15735b6
hex594e4

365796 has 30 divisors (see below), whose sum is σ = 957110. Its totient is φ = 121824.

The previous prime is 365791. The next prime is 365797. The reversal of 365796 is 697563.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 236196 + 129600 = 486^2 + 360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34020) is a multiple of the sum of its prime divisors (1134).

It is a nialpdrome in base 13 and base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 365796.

It is not an unprimeable number, because it can be changed into a prime (365791) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 241 + ... + 888.

2365796 is an apocalyptic number.

365796 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

365796 is an abundant number, since it is smaller than the sum of its proper divisors (591314).

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

365796 is a wasteful number, since it uses less digits than its factorization.

365796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 365796 is about 604.8107141908. The cubic root of 365796 is about 71.5176085863.

Subtracting from 365796 its product of digits (34020), we obtain a 4-th power (331776 = 244).

It can be divided in two parts, 36579 and 6, that added together give a triangular number (36585 = T270).

The spelling of 365796 in words is "three hundred sixty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1129 2258 3387 4516 6774 10161 13548 20322 30483 40644 60966 91449 121932 182898 365796