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23116632 = 23372111787
BaseRepresentation
bin101100000101…
…1101101011000
31121111110001120
41120023231120
521404213012
62143245240
7400326300
oct130135530
947443046
1023116632
1112059960
1278a9820
134a34ba6
1430da600
15206958c
hex160bb58

23116632 has 96 divisors (see below), whose sum is σ = 73379520. Its totient is φ = 6000960.

The previous prime is 23116631. The next prime is 23116637. The reversal of 23116632 is 23661132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23116631) 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, 12043 + ... + 13829.

It is an arithmetic number, because the mean of its divisors is an integer number (764370).

Almost surely, 223116632 is an apocalyptic number.

23116632 is a gapful number since it is divisible by the number (22) 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 23116632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36689760).

23116632 is an abundant number, since it is smaller than the sum of its proper divisors (50262888).

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

23116632 is a wasteful number, since it uses less digits than its factorization.

23116632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1810 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 23116632 is about 4807.9758734836. The cubic root of 23116632 is about 284.8665919168.

Adding to 23116632 its reverse (23661132), we get a palindrome (46777764).

The spelling of 23116632 in words is "twenty-three million, one hundred sixteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1787 1848 2156 3234 3574 4312 5361 6468 7148 10722 12509 12936 14296 19657 21444 25018 37527 39314 42888 50036 58971 75054 78628 87563 100072 117942 137599 150108 157256 175126 235884 262689 275198 300216 350252 412797 471768 525378 550396 700504 825594 963193 1050756 1100792 1651188 1926386 2101512 2889579 3302376 3852772 5779158 7705544 11558316 23116632