Search a number
-
+
20623152 = 24311139281
BaseRepresentation
bin100111010101…
…0111100110000
31102210202122110
41032222330300
520234420102
62014005320
7340202544
oct116527460
942722573
1020623152
1110706530
126aa6840
134370c64
142a4ba24
151c2586c
hex13aaf30

20623152 has 80 divisors (see below), whose sum is σ = 58746240. Its totient is φ = 6182400.

The previous prime is 20623139. The next prime is 20623181. The reversal of 20623152 is 25132602.

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, 73252 + ... + 73532.

It is an arithmetic number, because the mean of its divisors is an integer number (734328).

Almost surely, 220623152 is an apocalyptic number.

20623152 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 20623152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29373120).

20623152 is an abundant number, since it is smaller than the sum of its proper divisors (38123088).

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

20623152 is a wasteful number, since it uses less digits than its factorization.

20623152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 20623152 is about 4541.2720684848. The cubic root of 20623152 is about 274.2321367325.

Adding to 20623152 its reverse (25132602), we get a palindrome (45755754).

The spelling of 20623152 in words is "twenty million, six hundred twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 139 176 264 278 281 417 528 556 562 834 843 1112 1124 1529 1668 1686 2224 2248 3058 3091 3336 3372 4496 4587 6116 6182 6672 6744 9174 9273 12232 12364 13488 18348 18546 24464 24728 36696 37092 39059 49456 73392 74184 78118 117177 148368 156236 234354 312472 429649 468708 624944 859298 937416 1288947 1718596 1874832 2577894 3437192 5155788 6874384 10311576 20623152