Search a number
-
+
23151040 = 265116577
BaseRepresentation
bin101100001010…
…0000111000000
31121120012020221
41120110013000
521411313130
62144112424
7400531513
oct130240700
947505227
1023151040
11120827a0
127905714
134a47753
143108d7a
15207487a
hex16141c0

23151040 has 56 divisors (see below), whose sum is σ = 60149232. Its totient is φ = 8417280.

The previous prime is 23151031. The next prime is 23151047. The reversal of 23151040 is 4015132.

23151040 = T209 + T210 + ... + T528.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23151047) 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, 232 + ... + 6808.

Almost surely, 223151040 is an apocalyptic number.

23151040 is a gapful number since it is divisible by the number (20) 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 23151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30074616).

23151040 is an abundant number, since it is smaller than the sum of its proper divisors (36998192).

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

23151040 is a wasteful number, since it uses less digits than its factorization.

23151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6605 (or 6595 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 23151040 is about 4811.5527639214. The cubic root of 23151040 is about 285.0078586117.

Adding to 23151040 its reverse (4015132), we get a palindrome (27166172).

The spelling of 23151040 in words is "twenty-three million, one hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 6577 13154 26308 32885 52616 65770 72347 105232 131540 144694 210464 263080 289388 361735 420928 526160 578776 723470 1052320 1157552 1446940 2104640 2315104 2893880 4630208 5787760 11575520 23151040