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23077280 = 255236271
BaseRepresentation
bin101100000001…
…0000110100000
31121102110002002
41120002012200
521401433110
62142343132
7400103462
oct130020640
947373062
1023077280
1112032336
12788aaa8
134a1ccc5
1430ca132
15205caa5
hex16021a0

23077280 has 48 divisors (see below), whose sum is σ = 56899584. Its totient is φ = 8828160.

The previous prime is 23077277. The next prime is 23077333. The reversal of 23077280 is 8277032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 545 + ... + 6815.

It is an arithmetic number, because the mean of its divisors is an integer number (1185408).

Almost surely, 223077280 is an apocalyptic number.

23077280 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 23077280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28449792).

23077280 is an abundant number, since it is smaller than the sum of its proper divisors (33822304).

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

23077280 is a wasteful number, since it uses less digits than its factorization.

23077280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 23077280 is about 4803.8817637407. The cubic root of 23077280 is about 284.7048550166.

The spelling of 23077280 in words is "twenty-three million, seventy-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 6271 12542 25084 31355 50168 62710 100336 125420 144233 200672 250840 288466 501680 576932 721165 1003360 1153864 1442330 2307728 2884660 4615456 5769320 11538640 23077280