Search a number
-
+
23032400 = 245271811
BaseRepresentation
bin101011111011…
…1001001010000
31121100011111212
41113313021100
521344014100
62141355252
7366525566
oct127671120
947304455
1023032400
1112001646
127868b28
134a05751
1430b7a36
15204e635
hex15f7250

23032400 has 60 divisors (see below), whose sum is σ = 56183904. Its totient is φ = 9072000.

The previous prime is 23032393. The next prime is 23032403. The reversal of 23032400 is 423032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23032403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27995 + ... + 28805.

Almost surely, 223032400 is an apocalyptic number.

23032400 is a gapful number since it is divisible by the number (20) 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 23032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28091952).

23032400 is an abundant number, since it is smaller than the sum of its proper divisors (33151504).

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

23032400 is a wasteful number, since it uses less digits than its factorization.

23032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 23032400 is about 4799.2082680376. The cubic root of 23032400 is about 284.5201734310.

Adding to 23032400 its reverse (423032), we get a palindrome (23455432).

It can be divided in two parts, 23032 and 400, that added together give a palindrome (23432).

The spelling of 23032400 in words is "twenty-three million, thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 284 355 400 568 710 811 1136 1420 1622 1775 2840 3244 3550 4055 5680 6488 7100 8110 12976 14200 16220 20275 28400 32440 40550 57581 64880 81100 115162 162200 230324 287905 324400 460648 575810 921296 1151620 1439525 2303240 2879050 4606480 5758100 11516200 23032400