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215136 = 253483
BaseRepresentation
bin110100100001100000
3101221010000
4310201200
523341021
64340000
71554135
oct644140
9357100
10215136
111376a9
12a4600
1376bcc
145858c
1543b26
hex34860

215136 has 60 divisors (see below), whose sum is σ = 640332. Its totient is φ = 70848.

The previous prime is 215123. The next prime is 215141. The reversal of 215136 is 631512.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 215136.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2551 + ... + 2633.

2215136 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 215136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320166).

215136 is an abundant number, since it is smaller than the sum of its proper divisors (425196).

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

215136 is an equidigital number, since it uses as much as digits as its factorization.

215136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 215136 is about 463.8275541621. The cubic root of 215136 is about 59.9198930957.

Adding to 215136 its reverse (631512), we get a palindrome (846648).

It can be divided in two parts, 2151 and 36, that added together give a 7-th power (2187 = 37).

The spelling of 215136 in words is "two hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 83 96 108 144 162 166 216 249 288 324 332 432 498 648 664 747 864 996 1296 1328 1494 1992 2241 2592 2656 2988 3984 4482 5976 6723 7968 8964 11952 13446 17928 23904 26892 35856 53784 71712 107568 215136