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23805696 = 283139223
BaseRepresentation
bin101101011001…
…1111100000000
31122210110021110
41122303330000
522043240241
62210123320
7406226235
oct132637400
948713243
1023805696
111248a632
127b80540
134c16715
14323978c
152153816
hex16b3f00

23805696 has 72 divisors (see below), whose sum is σ = 64099840. Its totient is φ = 7842816.

The previous prime is 23805673. The next prime is 23805697. The reversal of 23805696 is 69650832.

It is a super-2 number, since 2×238056962 = 1133422324088832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23805697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106641 + ... + 106863.

Almost surely, 223805696 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 23805696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32049920).

23805696 is an abundant number, since it is smaller than the sum of its proper divisors (40294144).

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

23805696 is a wasteful number, since it uses less digits than its factorization.

23805696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 23805696 is about 4879.1081152194. The cubic root of 23805696 is about 287.6693736700.

The spelling of 23805696 in words is "twenty-three million, eight hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 223 256 278 384 417 446 556 669 768 834 892 1112 1338 1668 1784 2224 2676 3336 3568 4448 5352 6672 7136 8896 10704 13344 14272 17792 21408 26688 28544 30997 35584 42816 53376 57088 61994 85632 92991 106752 123988 171264 185982 247976 371964 495952 743928 991904 1487856 1983808 2975712 3967616 5951424 7935232 11902848 23805696