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11771328 = 263371657
BaseRepresentation
bin101100111001…
…110111000000
3211011001020010
4230321313000
511003140303
61100144520
7202024512
oct54716700
924131203
1011771328
11670aa78
123b38140
132591baa
1417c5bb2
151077c03
hexb39dc0

11771328 has 56 divisors (see below), whose sum is σ = 32006032. Its totient is φ = 3815424.

The previous prime is 11771321. The next prime is 11771339. The reversal of 11771328 is 82317711.

11771328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11771295 and 11771304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11771321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6276 + ... + 7932.

Almost surely, 211771328 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 11771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003016).

11771328 is an abundant number, since it is smaller than the sum of its proper divisors (20234704).

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

11771328 is a wasteful number, since it uses less digits than its factorization.

11771328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1699 counting only the distinct ones).

The product of its digits is 2352, while the sum is 30.

The square root of 11771328 is about 3430.9368982830. The cubic root of 11771328 is about 227.4792671200.

The spelling of 11771328 in words is "eleven million, seven hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1657 1776 2368 3314 3552 4971 6628 7104 9942 13256 19884 26512 39768 53024 61309 79536 106048 122618 159072 183927 245236 318144 367854 490472 735708 980944 1471416 1961888 2942832 3923776 5885664 11771328