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23096064 = 283172961
BaseRepresentation
bin101100000011…
…0101100000000
31121110101211210
41120012230000
521403033224
62143010120
7400212315
oct130065400
947411753
1023096064
1112045462
127899940
134a28714
1430d2d0c
152063429
hex1606b00

23096064 has 144 divisors (see below), whose sum is σ = 68433120. Its totient is φ = 6881280.

The previous prime is 23096011. The next prime is 23096069. The reversal of 23096064 is 46069032.

It is not an unprimeable number, because it can be changed into a prime (23096069) 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, 378594 + ... + 378654.

It is an arithmetic number, because the mean of its divisors is an integer number (475230).

Almost surely, 223096064 is an apocalyptic number.

23096064 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 23096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34216560).

23096064 is an abundant number, since it is smaller than the sum of its proper divisors (45337056).

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

23096064 is a wasteful number, since it uses less digits than its factorization.

23096064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 23096064 is about 4805.8364516492. The cubic root of 23096064 is about 284.7820802595.

The spelling of 23096064 in words is "twenty-three million, ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 61 64 68 87 96 102 116 122 128 136 174 183 192 204 232 244 256 272 348 366 384 408 464 488 493 544 696 732 768 816 928 976 986 1037 1088 1392 1464 1479 1632 1769 1856 1952 1972 2074 2176 2784 2928 2958 3111 3264 3538 3712 3904 3944 4148 4352 5307 5568 5856 5916 6222 6528 7076 7424 7808 7888 8296 10614 11136 11712 11832 12444 13056 14152 15616 15776 16592 21228 22272 23424 23664 24888 28304 30073 31552 33184 42456 46848 47328 49776 56608 60146 63104 66368 84912 90219 94656 99552 113216 120292 126208 132736 169824 180438 189312 199104 226432 240584 265472 339648 360876 378624 398208 452864 481168 679296 721752 796416 962336 1358592 1443504 1924672 2887008 3849344 5774016 7698688 11548032 23096064