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11099984 = 2472331139
BaseRepresentation
bin101010010101…
…111101010000
3202212221022112
4222111331100
510320144414
61033524452
7163230320
oct52257520
922787275
1011099984
1162a1645
123873728
1323b844c
14168d280
15e93d3e
hexa95f50

11099984 has 80 divisors (see below), whose sum is σ = 26664960. Its totient is φ = 4371840.

The previous prime is 11099983. The next prime is 11099993. The reversal of 11099984 is 48999011.

11099984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11099983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79787 + ... + 79925.

It is an arithmetic number, because the mean of its divisors is an integer number (333312).

Almost surely, 211099984 is an apocalyptic number.

11099984 is a gapful number since it is divisible by the number (14) 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 11099984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332480).

11099984 is an abundant number, since it is smaller than the sum of its proper divisors (15564976).

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

11099984 is a wasteful number, since it uses less digits than its factorization.

11099984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 41.

The square root of 11099984 is about 3331.6638485898. The cubic root of 11099984 is about 223.0698032668.

The spelling of 11099984 in words is "eleven million, ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 56 62 92 112 124 139 161 184 217 248 278 322 368 434 496 556 644 713 868 973 1112 1288 1426 1736 1946 2224 2576 2852 3197 3472 3892 4309 4991 5704 6394 7784 8618 9982 11408 12788 15568 17236 19964 22379 25576 30163 34472 39928 44758 51152 60326 68944 79856 89516 99107 120652 179032 198214 241304 358064 396428 482608 693749 792856 1387498 1585712 2774996 5549992 11099984