Search a number
-
+
23726064 = 2432321491
BaseRepresentation
bin101101010000…
…0011111110000
31122122102001010
41122200133300
522033213224
62204310520
7405445125
oct132403760
948572033
1023726064
111243581a
127b42440
134bb93bb
14321874c
152139e29
hex16a07f0

23726064 has 40 divisors (see below), whose sum is σ = 63960192. Its totient is φ = 7564480.

The previous prime is 23726063. The next prime is 23726077. The reversal of 23726064 is 46062732.

It is a super-2 number, since 2×237260642 = 1125852225864192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23726063) 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, 9642 + ... + 11849.

Almost surely, 223726064 is an apocalyptic number.

23726064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23726064 is an abundant number, since it is smaller than the sum of its proper divisors (40234128).

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

23726064 is a wasteful number, since it uses less digits than its factorization.

23726064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21525 (or 21519 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 23726064 is about 4870.9407715553. The cubic root of 23726064 is about 287.3482561549.

Adding to 23726064 its reverse (46062732), we get a palindrome (69788796).

The spelling of 23726064 in words is "twenty-three million, seven hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 21491 42982 64473 85964 128946 171928 257892 343856 494293 515784 988586 1031568 1482879 1977172 2965758 3954344 5931516 7908688 11863032 23726064