Search a number
-
+
20215312 = 2413175717
BaseRepresentation
bin100110100011…
…1011000010000
31102001001012021
41031013120100
520133342222
62001141224
7333553525
oct115073020
942031167
1020215312
1110458077
12692a814
13425a430
14298314c
151b94ac7
hex1347610

20215312 has 40 divisors (see below), whose sum is σ = 44669016. Its totient is φ = 8779776.

The previous prime is 20215303. The next prime is 20215319. The reversal of 20215312 is 21351202.

It can be written as a sum of positive squares in 4 ways, for example, as 2876416 + 17338896 = 1696^2 + 4164^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20215319) 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, 678 + ... + 6394.

Almost surely, 220215312 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 20215312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22334508).

20215312 is an abundant number, since it is smaller than the sum of its proper divisors (24453704).

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

20215312 is a wasteful number, since it uses less digits than its factorization.

20215312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 20215312 is about 4496.1441258038. The cubic root of 20215312 is about 272.4123647160.

Adding to 20215312 its reverse (21351202), we get a palindrome (41566514).

The spelling of 20215312 in words is "twenty million, two hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 5717 11434 22868 45736 74321 91472 97189 148642 194378 297284 388756 594568 777512 1189136 1263457 1555024 2526914 5053828 10107656 20215312