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11261376 = 26337319
BaseRepresentation
bin101010111101…
…010111000000
3210012010201000
4222331113000
510340331001
61041212000
7164502000
oct52752700
923163630
1011261376
1163a1925
123931000
132443a49
1416d2000
15ec6a86
hexabd5c0

11261376 has 224 divisors, whose sum is σ = 40640000. Its totient is φ = 3048192.

The previous prime is 11261359. The next prime is 11261407. The reversal of 11261376 is 67316211.

11261376 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 11261376 = 283 + 2243 = 1263 + 2103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592695 + ... + 592713.

Almost surely, 211261376 is an apocalyptic number.

11261376 is a gapful number since it is divisible by the number (16) 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 11261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20320000).

11261376 is an abundant number, since it is smaller than the sum of its proper divisors (29378624).

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

11261376 is an equidigital number, since it uses as much as digits as its factorization.

11261376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 31 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 11261376 is about 3355.7973717136. The cubic root of 11261376 is about 224.1457384926.

Adding to 11261376 its reverse (67316211), we get a palindrome (78577587).

The spelling of 11261376 in words is "eleven million, two hundred sixty-one thousand, three hundred seventy-six".