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23983128 = 233513273
BaseRepresentation
bin101101101111…
…1010000011000
31200010110200000
41123133100120
522114430003
62214013000
7410565441
oct133372030
950113600
1023983128
11125a0974
128047160
134c79400
1432842c8
15218b1a3
hex16df418

23983128 has 144 divisors (see below), whose sum is σ = 73939320. Its totient is φ = 7278336.

The previous prime is 23983123. The next prime is 23983159. The reversal of 23983128 is 82138932.

It is a happy number.

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 = 23983092 and 23983101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23983123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 328500 + ... + 328572.

Almost surely, 223983128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23983128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36969660).

23983128 is an abundant number, since it is smaller than the sum of its proper divisors (49956192).

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

23983128 is a wasteful number, since it uses less digits than its factorization.

23983128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

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

The square root of 23983128 is about 4897.2571915308. The cubic root of 23983128 is about 288.3823047860.

The spelling of 23983128 in words is "twenty-three million, nine hundred eighty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 73 78 81 104 108 117 146 156 162 169 216 219 234 243 292 312 324 338 351 438 468 486 507 584 648 657 676 702 876 936 949 972 1014 1053 1314 1352 1404 1521 1752 1898 1944 1971 2028 2106 2628 2808 2847 3042 3159 3796 3942 4056 4212 4563 5256 5694 5913 6084 6318 7592 7884 8424 8541 9126 11388 11826 12168 12337 12636 13689 15768 17082 17739 18252 22776 23652 24674 25272 25623 27378 34164 35478 36504 37011 41067 47304 49348 51246 54756 68328 70956 74022 76869 82134 98696 102492 109512 111033 141912 148044 153738 164268 204984 222066 230607 296088 307476 328536 333099 444132 461214 614952 666198 888264 922428 999297 1332396 1844856 1998594 2664792 2997891 3997188 5995782 7994376 11991564 23983128