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11925280 = 255731021
BaseRepresentation
bin101101011111…
…011100100000
3211102212102001
4231133130200
511023102110
61103333344
7203235403
oct55373440
924385361
1011925280
116805704
123bb1254
132616ca3
141825d3a
1510a863a
hexb5f720

11925280 has 48 divisors (see below), whose sum is σ = 28587384. Its totient is φ = 4700160.

The previous prime is 11925271. The next prime is 11925283. The reversal of 11925280 is 8252911.

It can be written as a sum of positive squares in 4 ways, for example, as 10214416 + 1710864 = 3196^2 + 1308^2 .

It is not an unprimeable number, because it can be changed into a prime (11925283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11170 + ... + 12190.

Almost surely, 211925280 is an apocalyptic number.

11925280 is a gapful number since it is divisible by the number (10) 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 11925280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14293692).

11925280 is an abundant number, since it is smaller than the sum of its proper divisors (16662104).

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

11925280 is a wasteful number, since it uses less digits than its factorization.

11925280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 11925280 is about 3453.2998711377. The cubic root of 11925280 is about 228.4666752136.

The spelling of 11925280 in words is "eleven million, nine hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1021 1168 1460 2042 2336 2920 4084 5105 5840 8168 10210 11680 16336 20420 32672 40840 74533 81680 149066 163360 298132 372665 596264 745330 1192528 1490660 2385056 2981320 5962640 11925280