Search a number
-
+
23106432 = 273193167
BaseRepresentation
bin101100000100…
…1001110000000
31121110221001210
41120021032000
521403401212
62143130120
7400254456
oct130111600
947427053
1023106432
1112052228
1278a3940
134a3035b
1430d69d6
15206653c
hex1609380

23106432 has 64 divisors (see below), whose sum is σ = 64627200. Its totient is φ = 7294464.

The previous prime is 23106409. The next prime is 23106497. The reversal of 23106432 is 23460132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 23106399 and 23106408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5713 + ... + 8879.

It is an arithmetic number, because the mean of its divisors is an integer number (1009800).

Almost surely, 223106432 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 23106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32313600).

23106432 is an abundant number, since it is smaller than the sum of its proper divisors (41520768).

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

23106432 is a wasteful number, since it uses less digits than its factorization.

23106432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 23106432 is about 4806.9150190117. The cubic root of 23106432 is about 284.8246875035.

Adding to 23106432 its reverse (23460132), we get a palindrome (46566564).

The spelling of 23106432 in words is "twenty-three million, one hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3167 3648 6334 7296 9501 12668 19002 25336 38004 50672 60173 76008 101344 120346 152016 180519 202688 240692 304032 361038 405376 481384 608064 722076 962768 1216128 1444152 1925536 2888304 3851072 5776608 7702144 11553216 23106432