Search a number
-
+
11029376 = 27199433
BaseRepresentation
bin101010000100…
…101110000000
3202202100110102
4222010232000
510310420001
61032221532
7162514421
oct52045600
922670412
1011029376
116253596
12383a8a8
132392277
141671648
15e7ce6b
hexa84b80

11029376 has 32 divisors (see below), whose sum is σ = 22134000. Its totient is φ = 5474304.

The previous prime is 11029373. The next prime is 11029393. The reversal of 11029376 is 67392011.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11029373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25256 + ... + 25688.

Almost surely, 211029376 is an apocalyptic number.

11029376 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 11029376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11067000).

11029376 is an abundant number, since it is smaller than the sum of its proper divisors (11104624).

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

11029376 is an equidigital number, since it uses as much as digits as its factorization.

11029376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 11029376 is about 3321.0504362325. The cubic root of 11029376 is about 222.5958077485.

The spelling of 11029376 in words is "eleven million, twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 199 398 433 796 866 1592 1732 3184 3464 6368 6928 12736 13856 25472 27712 55424 86167 172334 344668 689336 1378672 2757344 5514688 11029376