Search a number
-
+
23006144 = 26789577
BaseRepresentation
bin101011111000…
…0101111000000
31121021211111102
41113300233000
521342144034
62141033532
7366356210
oct127605700
947254442
1023006144
1111a93947
1278558a8
1349c6805
1430ac240
15204697e
hex15f0bc0

23006144 has 56 divisors (see below), whose sum is σ = 52852320. Its totient is φ = 9732096.

The previous prime is 23006111. The next prime is 23006147. The reversal of 23006144 is 44160032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23006147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39584 + ... + 40160.

Almost surely, 223006144 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 23006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26426160).

23006144 is an abundant number, since it is smaller than the sum of its proper divisors (29846176).

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

23006144 is an equidigital number, since it uses as much as digits as its factorization.

23006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 23006144 is about 4796.4720368204. The cubic root of 23006144 is about 284.4120185114.

Adding to 23006144 its reverse (44160032), we get a palindrome (67166176).

The spelling of 23006144 in words is "twenty-three million, six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 178 224 356 448 577 623 712 1154 1246 1424 2308 2492 2848 4039 4616 4984 5696 8078 9232 9968 16156 18464 19936 32312 36928 39872 51353 64624 102706 129248 205412 258496 359471 410824 718942 821648 1437884 1643296 2875768 3286592 5751536 11503072 23006144