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11212480 = 26537947
BaseRepresentation
bin101010110001…
…011011000000
3210002122122001
4222301123000
510332244410
61040153344
7164206306
oct52613300
923078561
1011212480
116369114
123908854
132427706
1416bc276
15eb733a
hexab16c0

11212480 has 56 divisors (see below), whose sum is σ = 27450288. Its totient is φ = 4359168.

The previous prime is 11212447. The next prime is 11212501. The reversal of 11212480 is 8421211.

It is a happy number.

11212480 is a nontrivial binomial coefficient, being equal to C(4736, 2).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11367 + ... + 12313.

Almost surely, 211212480 is an apocalyptic number.

11212480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11212480 is the 4735-th triangular number and also the 2368-th hexagonal number.

11212480 is the 1579-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13725144).

11212480 is an abundant number, since it is smaller than the sum of its proper divisors (16237808).

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

11212480 is an equidigital number, since it uses as much as digits as its factorization.

11212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 11212480 is about 3348.5041436438. The cubic root of 11212480 is about 223.8208601758.

Adding to 11212480 its reverse (8421211), we get a palindrome (19633691).

The spelling of 11212480 in words is "eleven million, two hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 947 1184 1480 1894 2368 2960 3788 4735 5920 7576 9470 11840 15152 18940 30304 35039 37880 60608 70078 75760 140156 151520 175195 280312 303040 350390 560624 700780 1121248 1401560 2242496 2803120 5606240 11212480