Search a number
-
+
20352264 = 2331783601
BaseRepresentation
bin100110110100…
…0110100001000
31102022000001120
41031220310020
520202233024
62004115240
7334664022
oct115506410
942260046
1020352264
1110540a59
126995b20
1342a787a
1429bb012
151bc0479
hex1368d08

20352264 has 64 divisors (see below), whose sum is σ = 54613440. Its totient is φ = 6297600.

The previous prime is 20352259. The next prime is 20352289. The reversal of 20352264 is 46225302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33564 + ... + 34164.

It is an arithmetic number, because the mean of its divisors is an integer number (853335).

Almost surely, 220352264 is an apocalyptic number.

20352264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20352264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27306720).

20352264 is an abundant number, since it is smaller than the sum of its proper divisors (34261176).

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

20352264 is a wasteful number, since it uses less digits than its factorization.

20352264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 20352264 is about 4511.3483571988. The cubic root of 20352264 is about 273.0261483897.

Adding to 20352264 its reverse (46225302), we get a palindrome (66577566).

The spelling of 20352264 in words is "twenty million, three hundred fifty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 83 102 136 166 204 249 332 408 498 601 664 996 1202 1411 1803 1992 2404 2822 3606 4233 4808 5644 7212 8466 10217 11288 14424 16932 20434 30651 33864 40868 49883 61302 81736 99766 122604 149649 199532 245208 299298 399064 598596 848011 1197192 1696022 2544033 3392044 5088066 6784088 10176132 20352264