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11148960 = 253523227
BaseRepresentation
bin101010100001…
…111010100000
3202222102111110
4222201322200
510323231320
61034543320
7163523154
oct52417240
922872443
1011148960
116325419
123897b40
132404824
1416a3064
15ea35e0
hexaa1ea0

11148960 has 48 divisors (see below), whose sum is σ = 35120736. Its totient is φ = 2972928.

The previous prime is 11148947. The next prime is 11148967. The reversal of 11148960 is 6984111.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11148967) 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, 11134 + ... + 12093.

It is an arithmetic number, because the mean of its divisors is an integer number (731682).

Almost surely, 211148960 is an apocalyptic number.

11148960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11148960 is an abundant number, since it is smaller than the sum of its proper divisors (23971776).

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

11148960 is a wasteful number, since it uses less digits than its factorization.

11148960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23245 (or 23237 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 11148960 is about 3339.0058400668. The cubic root of 11148960 is about 223.3974024742.

The spelling of 11148960 in words is "eleven million, one hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 23227 46454 69681 92908 116135 139362 185816 232270 278724 348405 371632 464540 557448 696810 743264 929080 1114896 1393620 1858160 2229792 2787240 3716320 5574480 11148960