Search a number
-
+
23052400 = 245278233
BaseRepresentation
bin101011111110…
…0000001110000
31121101011221121
41113330001300
521400134100
62142032024
7366641110
oct127740160
947334847
1023052400
1112015678
127878614
134a11897
1430c1040
15205551a
hex15fc070

23052400 has 60 divisors (see below), whose sum is σ = 63302992. Its totient is φ = 7902720.

The previous prime is 23052389. The next prime is 23052409. The reversal of 23052400 is 425032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23052409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1317 + ... + 6916.

Almost surely, 223052400 is an apocalyptic number.

23052400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23052400 is an abundant number, since it is smaller than the sum of its proper divisors (40250592).

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

23052400 is a wasteful number, since it uses less digits than its factorization.

23052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8258 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 23052400 is about 4801.2914929215. The cubic root of 23052400 is about 284.6025032098.

Adding to 23052400 its reverse (425032), we get a palindrome (23477432).

The spelling of 23052400 in words is "twenty-three million, fifty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 8233 16466 32932 41165 57631 65864 82330 115262 131728 164660 205825 230524 288155 329320 411650 461048 576310 658640 823300 922096 1152620 1440775 1646600 2305240 2881550 3293200 4610480 5763100 11526200 23052400