Search a number
-
+
20237272 = 2311417179
BaseRepresentation
bin100110100110…
…0101111011000
31102002011022121
41031030233120
520140043042
62001431024
7334004536
oct115145730
942064277
1020237272
1110472620
12693b474
134267423
14298b156
151b9b367
hex134cbd8

20237272 has 64 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 8736000.

The previous prime is 20237257. The next prime is 20237291. The reversal of 20237272 is 27273202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256129 + ... + 256207.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 220237272 is an apocalyptic number.

20237272 is a gapful number since it is divisible by the number (22) 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 20237272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

20237272 is an abundant number, since it is smaller than the sum of its proper divisors (23308328).

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

20237272 is a wasteful number, since it uses less digits than its factorization.

20237272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 20237272 is about 4498.5855554830. The cubic root of 20237272 is about 272.5109700154.

The spelling of 20237272 in words is "twenty million, two hundred thirty-seven thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 41 44 71 79 82 88 142 158 164 284 316 328 451 568 632 781 869 902 1562 1738 1804 2911 3124 3239 3476 3608 5609 5822 6248 6478 6952 11218 11644 12956 22436 23288 25912 32021 35629 44872 61699 64042 71258 123398 128084 142516 229969 246796 256168 285032 459938 493592 919876 1839752 2529659 5059318 10118636 20237272