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11000988 = 2233372753
BaseRepresentation
bin101001111101…
…110010011100
3202200220112000
4221331302130
510304012423
61031442300
7162335565
oct51756234
922626460
1011000988
116234229
123826390
13238237b
14166516c
15e74843
hexa7dc9c

11000988 has 48 divisors (see below), whose sum is σ = 29302560. Its totient is φ = 3566592.

The previous prime is 11000971. The next prime is 11000993. The reversal of 11000988 is 88900011.

It is a super-2 number, since 2×110009882 = 242043473952288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2620 + ... + 5372.

It is an arithmetic number, because the mean of its divisors is an integer number (610470).

Almost surely, 211000988 is an apocalyptic number.

11000988 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 11000988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651280).

11000988 is an abundant number, since it is smaller than the sum of its proper divisors (18301572).

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

11000988 is a wasteful number, since it uses less digits than its factorization.

11000988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 11000988 is about 3316.7737336152. The cubic root of 11000988 is about 222.4046673192.

Adding to 11000988 its reverse (88900011), we get a palindrome (99900999).

The spelling of 11000988 in words is "eleven million, nine hundred eighty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 2753 3996 5506 8259 11012 16518 24777 33036 49554 74331 99108 101861 148662 203722 297324 305583 407444 611166 916749 1222332 1833498 2750247 3666996 5500494 11000988