Search a number
-
+
63396 = 2233587
BaseRepresentation
bin1111011110100100
310012222000
433132210
54012041
61205300
7352554
oct173644
9105860
1063396
11436a3
1230830
1322b18
1419164
1513bb6
hexf7a4

63396 has 24 divisors (see below), whose sum is σ = 164640. Its totient is φ = 21096.

The previous prime is 63391. The next prime is 63397. The reversal of 63396 is 69336.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (63391) 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, 186 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (6860).

263396 is an apocalyptic number.

It is an amenable number.

63396 is an abundant number, since it is smaller than the sum of its proper divisors (101244).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82320).

63396 is a wasteful number, since it uses less digits than its factorization.

63396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 63396 is about 251.7856231003. The cubic root of 63396 is about 39.8737687274.

It can be divided in two parts, 633 and 96, that added together give a 6-th power (729 = 36).

The spelling of 63396 in words is "sixty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 587 1174 1761 2348 3522 5283 7044 10566 15849 21132 31698 63396