Search a number
-
+
23608728 = 233211132293
BaseRepresentation
bin101101000001…
…1110110011000
31122102110002100
41122003312120
522020434403
62202003400
7404446053
oct132036630
948373070
1023608728
1112365650
127aa6560
134b77b80
1431c7a9a
1521152a3
hex1683d98

23608728 has 96 divisors (see below), whose sum is σ = 75151440. Its totient is φ = 6600960.

The previous prime is 23608727. The next prime is 23608747. The reversal of 23608728 is 82780632.

23608728 = T177 + T178 + ... + T527.

It is a happy number.

23608728 is a `hidden beast` number, since 23 + 608 + 7 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23608692 and 23608701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23608727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9150 + ... + 11442.

Almost surely, 223608728 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 23608728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37575720).

23608728 is an abundant number, since it is smaller than the sum of its proper divisors (51542712).

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

23608728 is a wasteful number, since it uses less digits than its factorization.

23608728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 23608728 is about 4858.8813527395. The cubic root of 23608728 is about 286.8737845791.

It can be divided in two parts, 23608 and 728, that added together give a square (24336 = 1562).

The spelling of 23608728 in words is "twenty-three million, six hundred eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2293 2574 3432 4586 5148 6879 9172 10296 13758 18344 20637 25223 27516 29809 41274 50446 55032 59618 75669 82548 89427 100892 119236 151338 165096 178854 201784 227007 238472 268281 302676 327899 357708 454014 536562 605352 655798 715416 908028 983697 1073124 1311596 1816056 1967394 2146248 2623192 2951091 3934788 5902182 7869576 11804364 23608728