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23004140 = 22523431163
BaseRepresentation
bin101011111000…
…0001111101100
31121021201202012
41113300033230
521342113030
62141020352
7366350315
oct127601754
947251665
1023004140
1111a92395
1278546b8
1349c5923
1430ab60c
152046095
hex15f03ec

23004140 has 48 divisors (see below), whose sum is σ = 51625728. Its totient is φ = 8589504.

The previous prime is 23004127. The next prime is 23004143. The reversal of 23004140 is 4140032.

23004140 is a modest number, since divided by 4140 gives 2300 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23004143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19199 + ... + 20361.

It is an arithmetic number, because the mean of its divisors is an integer number (1075536).

Almost surely, 223004140 is an apocalyptic number.

23004140 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 23004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25812864).

23004140 is an abundant number, since it is smaller than the sum of its proper divisors (28621588).

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

23004140 is a wasteful number, since it uses less digits than its factorization.

23004140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 23004140 is about 4796.2631287284. The cubic root of 23004140 is about 284.4037601633.

Adding to 23004140 its reverse (4140032), we get a palindrome (27144172).

The spelling of 23004140 in words is "twenty-three million, four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 43 46 86 92 115 172 215 230 430 460 860 989 1163 1978 2326 3956 4652 4945 5815 9890 11630 19780 23260 26749 50009 53498 100018 106996 133745 200036 250045 267490 500090 534980 1000180 1150207 2300414 4600828 5751035 11502070 23004140