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45760230 = 23251732939
BaseRepresentation
bin1010111010001…
…1111011100110
310012002212020100
42232203323212
543203311410
64312444530
71063645515
oct256437346
9105085210
1045760230
112391537a
12133a9746
139632679
14611267c
15403d8c0
hex2ba3ee6

45760230 has 48 divisors (see below), whose sum is σ = 119705040. Its totient is φ = 12128064.

The previous prime is 45760217. The next prime is 45760237. The reversal of 45760230 is 3206754.

It is a happy number.

45760230 is a `hidden beast` number, since 4 + 57 + 602 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45760194 and 45760203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45760237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14101 + ... + 17039.

It is an arithmetic number, because the mean of its divisors is an integer number (2493855).

Almost surely, 245760230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45760230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59852520).

45760230 is an abundant number, since it is smaller than the sum of its proper divisors (73944810).

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

45760230 is a wasteful number, since it uses less digits than its factorization.

45760230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 45760230 is about 6764.6308103251. The cubic root of 45760230 is about 357.6811607295.

Adding to 45760230 its reverse (3206754), we get a palindrome (48966984).

The spelling of 45760230 in words is "forty-five million, seven hundred sixty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 865 1038 1557 1730 2595 2939 3114 5190 5878 7785 8817 14695 15570 17634 26451 29390 44085 52902 88170 132255 264510 508447 1016894 1525341 2542235 3050682 4576023 5084470 7626705 9152046 15253410 22880115 45760230