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23121432 = 2332674793
BaseRepresentation
bin101100000110…
…0111000011000
31121111200122100
41120030320120
521404341212
62143323400
7400346265
oct130147030
947450570
1023121432
1112062524
1278b0560
134a37129
1430dc26c
15206abdc
hex160ce18

23121432 has 48 divisors (see below), whose sum is σ = 63568440. Its totient is φ = 7590528.

The previous prime is 23121431. The next prime is 23121433. The reversal of 23121432 is 23412132.

23121432 is a `hidden beast` number, since 231 + 2 + 1 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (23121431) and next prime (23121433).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (23121431) 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, 2428 + ... + 7220.

Almost surely, 223121432 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 23121432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31784220).

23121432 is an abundant number, since it is smaller than the sum of its proper divisors (40447008).

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

23121432 is a wasteful number, since it uses less digits than its factorization.

23121432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 4865 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 23121432 is about 4808.4750181320. The cubic root of 23121432 is about 284.8863073755.

Adding to 23121432 its reverse (23412132), we get a palindrome (46533564).

The spelling of 23121432 in words is "twenty-three million, one hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4793 4824 9586 14379 19172 28758 38344 43137 57516 86274 115032 172548 321131 345096 642262 963393 1284524 1926786 2569048 2890179 3853572 5780358 7707144 11560716 23121432