Search a number
-
+
23057104 = 2471271621
BaseRepresentation
bin101011111110…
…1001011010000
31121101102101211
41113331023100
521400311404
62142105504
7366660610
oct127751320
947342354
1023057104
1112019164
12787b294
134a13a75
1430c2a40
152056b04
hex15fd2d0

23057104 has 40 divisors (see below), whose sum is σ = 51488768. Its totient is φ = 9797760.

The previous prime is 23057101. The next prime is 23057107. The reversal of 23057104 is 40175032.

It is an interprime number because it is at equal distance from previous prime (23057101) and next prime (23057107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23057101) 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, 13414 + ... + 15034.

Almost surely, 223057104 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 23057104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25744384).

23057104 is an abundant number, since it is smaller than the sum of its proper divisors (28431664).

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

23057104 is a wasteful number, since it uses less digits than its factorization.

23057104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 23057104 is about 4801.7813361293. The cubic root of 23057104 is about 284.6218602561.

It can be divided in two parts, 2305 and 7104, that added together give a square (9409 = 972).

The spelling of 23057104 in words is "twenty-three million, fifty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 889 1016 1621 1778 2032 3242 3556 6484 7112 11347 12968 14224 22694 25936 45388 90776 181552 205867 411734 823468 1441069 1646936 2882138 3293872 5764276 11528552 23057104