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23120032 = 2513149373
BaseRepresentation
bin101100000110…
…0100010100000
31121111121201111
41120030202200
521404320112
62143313104
7400342225
oct130144240
947447644
1023120032
1112061471
1278ab794
134a365c0
1430db94c
15206a5a7
hex160c8a0

23120032 has 48 divisors (see below), whose sum is σ = 49480200. Its totient is φ = 10570752.

The previous prime is 23120029. The next prime is 23120033. The reversal of 23120032 is 23002132.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11587216 + 11532816 = 3404^2 + 3396^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 23119994 and 23120021.

It is not an unprimeable number, because it can be changed into a prime (23120033) 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, 61798 + ... + 62170.

Almost surely, 223120032 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 23120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24740100).

23120032 is an abundant number, since it is smaller than the sum of its proper divisors (26360168).

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

23120032 is a wasteful number, since it uses less digits than its factorization.

23120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 23120032 is about 4808.3294396287. The cubic root of 23120032 is about 284.8805573153.

Adding to 23120032 its reverse (23002132), we get a palindrome (46122164).

It can be divided in two parts, 231200 and 32, that multiplied together give a square (7398400 = 27202).

The spelling of 23120032 in words is "twenty-three million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 149 208 298 373 416 596 746 1192 1492 1937 2384 2984 3874 4768 4849 5968 7748 9698 11936 15496 19396 30992 38792 55577 61984 77584 111154 155168 222308 444616 722501 889232 1445002 1778464 2890004 5780008 11560016 23120032