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23891328 = 273331223
BaseRepresentation
bin101101100100…
…0110110000000
31122221210202000
41123020312000
522104010303
62212024000
7410034006
oct133106600
948853660
1023891328
11125389aa
128002000
134c466a6
14325ca76
15216dda3
hex16c8d80

23891328 has 128 divisors (see below), whose sum is σ = 73113600. Its totient is φ = 7672320.

The previous prime is 23891323. The next prime is 23891347. The reversal of 23891328 is 82319832.

It is a happy number.

23891328 is a nontrivial binomial coefficient, being equal to C(6913, 2).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23891292 and 23891301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23891323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107025 + ... + 107247.

It is an arithmetic number, because the mean of its divisors is an integer number (571200).

Almost surely, 223891328 is an apocalyptic number.

23891328 is the 6912-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36556800).

23891328 is an abundant number, since it is smaller than the sum of its proper divisors (49222272).

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

23891328 is a wasteful number, since it uses less digits than its factorization.

23891328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 259 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 23891328 is about 4887.8756121653. The cubic root of 23891328 is about 288.0138882191.

The spelling of 23891328 in words is "twenty-three million, eight hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 223 248 279 288 372 384 432 446 496 558 576 669 744 837 864 892 992 1116 1152 1338 1488 1674 1728 1784 1984 2007 2232 2676 2976 3348 3456 3568 3968 4014 4464 5352 5952 6021 6696 6913 7136 8028 8928 10704 11904 12042 13392 13826 14272 16056 17856 20739 21408 24084 26784 27652 28544 32112 35712 41478 42816 48168 53568 55304 62217 64224 82956 85632 96336 107136 110608 124434 128448 165912 186651 192672 221216 248868 256896 331824 373302 385344 442432 497736 663648 746604 770688 884864 995472 1327296 1493208 1990944 2654592 2986416 3981888 5972832 7963776 11945664 23891328