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11267424 = 2537723
BaseRepresentation
bin101010111110…
…110101100000
3210012110000000
4222332311200
510341024144
61041300000
7164525430
oct52766540
923173000
1011267424
1163a6423
123934600
13244671c
1416d42c0
15ec8769
hexabed60

11267424 has 192 divisors, whose sum is σ = 39674880. Its totient is φ = 3079296.

The previous prime is 11267411. The next prime is 11267453. The reversal of 11267424 is 42476211.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489877 + ... + 489899.

It is an arithmetic number, because the mean of its divisors is an integer number (206640).

Almost surely, 211267424 is an apocalyptic number.

11267424 is a gapful number since it is divisible by the number (14) 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 11267424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837440).

11267424 is an abundant number, since it is smaller than the sum of its proper divisors (28407456).

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

11267424 is an frugal number, since it uses more digits than its factorization.

11267424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 35 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 11267424 is about 3356.6983778707. The cubic root of 11267424 is about 224.1858576520.

The spelling of 11267424 in words is "eleven million, two hundred sixty-seven thousand, four hundred twenty-four".