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11148900 = 2235275309
BaseRepresentation
bin101010100001…
…111001100100
3202222102102020
4222201321210
510323231100
61034543140
7163523040
oct52417144
922872366
1011148900
116325374
123897ab0
1324047a9
1416a3020
15ea35a0
hexaa1e64

11148900 has 72 divisors (see below), whose sum is σ = 36872640. Its totient is φ = 2547840.

The previous prime is 11148899. The next prime is 11148947. The reversal of 11148900 is 984111.

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 23 ways as a sum of consecutive naturals, for example, 555 + ... + 4754.

It is an arithmetic number, because the mean of its divisors is an integer number (512120).

Almost surely, 211148900 is an apocalyptic number.

11148900 is a gapful number since it is divisible by the number (10) 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 11148900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18436320).

11148900 is an abundant number, since it is smaller than the sum of its proper divisors (25723740).

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

11148900 is a wasteful number, since it uses less digits than its factorization.

11148900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11148900 is about 3338.9968553444. The cubic root of 11148900 is about 223.3970017233.

The spelling of 11148900 in words is "eleven million, one hundred forty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 5309 10618 15927 21236 26545 31854 37163 53090 63708 74326 79635 106180 111489 132725 148652 159270 185815 222978 265450 318540 371630 398175 445956 530900 557445 743260 796350 929075 1114890 1592700 1858150 2229780 2787225 3716300 5574450 11148900