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23800672 = 257243353
BaseRepresentation
bin101101011001…
…0101101100000
31122210012101101
41122302231200
522043110142
62210044144
7406205500
oct132625540
948705341
1023800672
1112486885
127b79654
134c1434c
143237a00
1521520b7
hex16b2b60

23800672 has 72 divisors (see below), whose sum is σ = 55933416. Its totient is φ = 9934848.

The previous prime is 23800669. The next prime is 23800687. The reversal of 23800672 is 27600832.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 23800672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67248 + ... + 67600.

It is an arithmetic number, because the mean of its divisors is an integer number (776853).

Almost surely, 223800672 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 23800672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27966708).

23800672 is an abundant number, since it is smaller than the sum of its proper divisors (32132744).

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

23800672 is a wasteful number, since it uses less digits than its factorization.

23800672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 23800672 is about 4878.5932398592. The cubic root of 23800672 is about 287.6491354797.

The spelling of 23800672 in words is "twenty-three million, eight hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 86 98 112 172 196 224 301 344 353 392 602 688 706 784 1204 1376 1412 1568 2107 2408 2471 2824 4214 4816 4942 5648 8428 9632 9884 11296 15179 16856 17297 19768 30358 33712 34594 39536 60716 67424 69188 79072 106253 121432 138376 212506 242864 276752 425012 485728 553504 743771 850024 1487542 1700048 2975084 3400096 5950168 11900336 23800672