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11247712 = 257149337
BaseRepresentation
bin101010111010…
…000001100000
3210011102221221
4222322001200
510334411322
61041024424
7164414110
oct52720140
923142857
1011247712
116392633
123925114
13243a768
1416cb040
15ec29c7
hexaba060

11247712 has 48 divisors (see below), whose sum is σ = 25552800. Its totient is φ = 4773888.

The previous prime is 11247683. The next prime is 11247739. The reversal of 11247712 is 21774211.

It is a super-2 number, since 2×112477122 = 253022050469888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 33208 + ... + 33544.

It is an arithmetic number, because the mean of its divisors is an integer number (532350).

Almost surely, 211247712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11247712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12776400).

11247712 is an abundant number, since it is smaller than the sum of its proper divisors (14305088).

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

11247712 is a wasteful number, since it uses less digits than its factorization.

11247712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 495 counting only the distinct ones).

The product of its digits is 784, while the sum is 25.

The square root of 11247712 is about 3353.7608740040. The cubic root of 11247712 is about 224.0550459956.

It can be divided in two parts, 1124 and 7712, that added together give a square (8836 = 942).

The spelling of 11247712 in words is "eleven million, two hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 149 224 298 337 596 674 1043 1192 1348 2086 2359 2384 2696 4172 4718 4768 5392 8344 9436 10784 16688 18872 33376 37744 50213 75488 100426 200852 351491 401704 702982 803408 1405964 1606816 2811928 5623856 11247712