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23087376 = 2433134111
BaseRepresentation
bin101100000010…
…0100100010000
31121102221221000
41120010210100
521402244001
62142502000
7400145064
oct130044420
947387830
1023087376
1112039984
127894900
134a24790
1430cdaa4
152060a86
hex1604910

23087376 has 80 divisors (see below), whose sum is σ = 71384320. Its totient is φ = 7102080.

The previous prime is 23087357. The next prime is 23087381. The reversal of 23087376 is 67378032.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23087376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3561 + ... + 7671.

It is an arithmetic number, because the mean of its divisors is an integer number (892304).

Almost surely, 223087376 is an apocalyptic number.

23087376 is a gapful number since it is divisible by the number (26) 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 23087376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35692160).

23087376 is an abundant number, since it is smaller than the sum of its proper divisors (48296944).

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

23087376 is a wasteful number, since it uses less digits than its factorization.

23087376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 23087376 is about 4804.9324657065. The cubic root of 23087376 is about 284.7463671468.

The spelling of 23087376 in words is "twenty-three million, eighty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 4111 5616 8222 12333 16444 24666 32888 36999 49332 53443 65776 73998 98664 106886 110997 147996 160329 197328 213772 221994 295992 320658 427544 443988 480987 591984 641316 855088 887976 961974 1282632 1442961 1775952 1923948 2565264 2885922 3847896 5771844 7695792 11543688 23087376