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11289072 = 243479491
BaseRepresentation
bin101011000100…
…000111110000
3210020112200210
4223010013300
510342222242
61041544120
7164645514
oct53040760
923215623
1011289072
116410713
123945040
132453532
1416dc144
15eced9c
hexac41f0

11289072 has 40 divisors (see below), whose sum is σ = 29283840. Its totient is φ = 3747520.

The previous prime is 11289049. The next prime is 11289077. The reversal of 11289072 is 27098211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11289077) 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, 22747 + ... + 23237.

It is an arithmetic number, because the mean of its divisors is an integer number (732096).

Almost surely, 211289072 is an apocalyptic number.

11289072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11289072 is an abundant number, since it is smaller than the sum of its proper divisors (17994768).

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

11289072 is a wasteful number, since it uses less digits than its factorization.

11289072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11289072 is about 3359.9214276527. The cubic root of 11289072 is about 224.3293412214.

The spelling of 11289072 in words is "eleven million, two hundred eighty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 479 491 958 982 1437 1473 1916 1964 2874 2946 3832 3928 5748 5892 7664 7856 11496 11784 22992 23568 235189 470378 705567 940756 1411134 1881512 2822268 3763024 5644536 11289072