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23672064 = 283132371
BaseRepresentation
bin101101001001…
…1010100000000
31122112122222010
41122103110000
522030001224
62203212520
7405131523
oct132232400
948478863
1023672064
11123a9199
127b17140
134b9a950
143202bba
152128e29
hex1693500

23672064 has 72 divisors (see below), whose sum is σ = 67877152. Its totient is φ = 7280640.

The previous prime is 23672057. The next prime is 23672071. The reversal of 23672064 is 46027632.

It is an interprime number because it is at equal distance from previous prime (23672057) and next prime (23672071).

It is a super-2 number, since 2×236720642 = 1120733228040192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8799 + ... + 11169.

Almost surely, 223672064 is an apocalyptic number.

23672064 is a gapful number since it is divisible by the number (24) 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 23672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33938576).

23672064 is an abundant number, since it is smaller than the sum of its proper divisors (44205088).

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

23672064 is a wasteful number, since it uses less digits than its factorization.

23672064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2389 counting only the distinct ones).

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

The square root of 23672064 is about 4865.3945369312. The cubic root of 23672064 is about 287.1300911204.

Adding to 23672064 its reverse (46027632), we get a palindrome (69699696).

The spelling of 23672064 in words is "twenty-three million, six hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2371 2496 3328 4742 4992 7113 9484 9984 14226 18968 28452 30823 37936 56904 61646 75872 92469 113808 123292 151744 184938 227616 246584 303488 369876 455232 493168 606976 739752 910464 986336 1479504 1820928 1972672 2959008 3945344 5918016 7890688 11836032 23672064