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1146144 = 25311939
BaseRepresentation
bin100010111110100100000
32011020012210
410113310200
5243134034
640322120
712512346
oct4276440
92136183
101146144
1171312a
12473340
133118bc
1421b996
151798e9
hex117d20

1146144 has 24 divisors (see below), whose sum is σ = 3008880. Its totient is φ = 382016.

The previous prime is 1146143. The next prime is 1146179. The reversal of 1146144 is 4416411.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1146144.

It is not an unprimeable number, because it can be changed into a prime (1146143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5874 + ... + 6065.

It is an arithmetic number, because the mean of its divisors is an integer number (125370).

21146144 is an apocalyptic number.

It is an amenable number.

1146144 is an abundant number, since it is smaller than the sum of its proper divisors (1862736).

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

1146144 is a wasteful number, since it uses less digits than its factorization.

1146144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11952 (or 11944 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 1146144 is about 1070.5811505906. The cubic root of 1146144 is about 104.6517259068.

The spelling of 1146144 in words is "one million, one hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11939 23878 35817 47756 71634 95512 143268 191024 286536 382048 573072 1146144