Search a number
-
+
23032512 = 26351481
BaseRepresentation
bin101011111011…
…1001011000000
31121100011200000
41113313023000
521344020022
62141400000
7366526116
oct127671300
947304600
1023032512
1112001738
127869000
134a05809
1430b7ab6
15204e6ac
hex15f72c0

23032512 has 84 divisors (see below), whose sum is σ = 68509896. Its totient is φ = 7672320.

The previous prime is 23032487. The next prime is 23032517. The reversal of 23032512 is 21523032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23032517) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14812 + ... + 16292.

It is an arithmetic number, because the mean of its divisors is an integer number (815594).

Almost surely, 223032512 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 23032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34254948).

23032512 is an abundant number, since it is smaller than the sum of its proper divisors (45477384).

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

23032512 is an equidigital number, since it uses as much as digits as its factorization.

23032512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23032512 is about 4799.2199366147. The cubic root of 23032512 is about 284.5206346104.

Adding to 23032512 its reverse (21523032), we get a palindrome (44555544).

The spelling of 23032512 in words is "twenty-three million, thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1481 1728 1944 2592 2962 3888 4443 5184 5924 7776 8886 11848 13329 15552 17772 23696 26658 35544 39987 47392 53316 71088 79974 94784 106632 119961 142176 159948 213264 239922 284352 319896 359883 426528 479844 639792 719766 853056 959688 1279584 1439532 1919376 2559168 2879064 3838752 5758128 7677504 11516256 23032512