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11298528 = 25351453
BaseRepresentation
bin101011000110…
…011011100000
3210021000200000
4223012123200
510343023103
61042100000
7165015213
oct53063340
923230600
1011298528
11641782a
12394a600
132457927
14170177a
15ed2aa3
hexac66e0

11298528 has 72 divisors (see below), whose sum is σ = 33343128. Its totient is φ = 3763584.

The previous prime is 11298517. The next prime is 11298569. The reversal of 11298528 is 82589211.

11298528 is a `hidden beast` number, since 1 + 129 + 8 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11298492 and 11298501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7050 + ... + 8502.

It is an arithmetic number, because the mean of its divisors is an integer number (463099).

Almost surely, 211298528 is an apocalyptic number.

11298528 is a gapful number since it is divisible by the number (18) 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 11298528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16671564).

11298528 is an abundant number, since it is smaller than the sum of its proper divisors (22044600).

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

11298528 is an equidigital number, since it uses as much as digits as its factorization.

11298528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1458 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 11298528 is about 3361.3283088684. The cubic root of 11298528 is about 224.3919583037.

The spelling of 11298528 in words is "eleven million, two hundred ninety-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1453 1944 2592 2906 3888 4359 5812 7776 8718 11624 13077 17436 23248 26154 34872 39231 46496 52308 69744 78462 104616 117693 139488 156924 209232 235386 313848 353079 418464 470772 627696 706158 941544 1255392 1412316 1883088 2824632 3766176 5649264 11298528