Search a number
-
+
23453680 = 245594969
BaseRepresentation
bin101100101110…
…1111111110000
31122010120101211
41121131333300
522001004210
62154405504
7403232035
oct131357760
948116354
1023453680
111226a108
127a30894
134b22423
14318738c
1520d438a
hex165dff0

23453680 has 40 divisors (see below), whose sum is σ = 55465200. Its totient is φ = 9220608.

The previous prime is 23453669. The next prime is 23453687. The reversal of 23453680 is 8635432.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23453687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2236 + ... + 7204.

It is an arithmetic number, because the mean of its divisors is an integer number (1386630).

Almost surely, 223453680 is an apocalyptic number.

23453680 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 23453680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27732600).

23453680 is an abundant number, since it is smaller than the sum of its proper divisors (32011520).

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

23453680 is a wasteful number, since it uses less digits than its factorization.

23453680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 23453680 is about 4842.8999576700. The cubic root of 23453680 is about 286.2443996285.

The spelling of 23453680 in words is "twenty-three million, four hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 4969 9938 19876 24845 39752 49690 79504 99380 198760 293171 397520 586342 1172684 1465855 2345368 2931710 4690736 5863420 11726840 23453680