Search a number
-
+
201604524 = 223117919333
BaseRepresentation
bin11000000010000…
…11110110101100
3112001100120102020
430001003312230
5403102321044
632001030140
74665416202
oct1401036654
9461316366
10201604524
11a3889510
1257625350
13329c9724
141cabd072
1512a74a19
hexc043dac

201604524 has 48 divisors (see below), whose sum is σ = 519697920. Its totient is φ = 60315840.

The previous prime is 201604523. The next prime is 201604531. The reversal of 201604524 is 425406102.

It is a junction number, because it is equal to n+sod(n) for n = 201604494 and 201604503.

It is not an unprimeable number, because it can be changed into a prime (201604523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762 + ... + 20094.

It is an arithmetic number, because the mean of its divisors is an integer number (10827040).

Almost surely, 2201604524 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 201604524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259848960).

201604524 is an abundant number, since it is smaller than the sum of its proper divisors (318093396).

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

201604524 is a wasteful number, since it uses less digits than its factorization.

201604524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19430 (or 19428 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 201604524 is about 14198.7507901223. The cubic root of 201604524 is about 586.3632695760.

The spelling of 201604524 in words is "two hundred one million, six hundred four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 10428 19333 38666 57999 77332 115998 212663 231996 425326 637989 850652 1275978 1527307 2551956 3054614 4581921 6109228 9163842 16800377 18327684 33600754 50401131 67201508 100802262 201604524