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1163664 = 24328081
BaseRepresentation
bin100011100000110010000
32012010020200
410130012100
5244214124
640535200
712614415
oct4340620
92163220
101163664
11725307
12481500
13319878
1422410c
1517ebc9
hex11c190

1163664 has 30 divisors (see below), whose sum is σ = 3257046. Its totient is φ = 387840.

The previous prime is 1163663. The next prime is 1163671. The reversal of 1163664 is 4663611.

It can be written as a sum of positive squares in only one way, i.e., 921600 + 242064 = 960^2 + 492^2 .

It is a super-2 number, since 2×11636642 = 2708227809792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1163663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3897 + ... + 4184.

21163664 is an apocalyptic number.

It is an amenable number.

1163664 is an abundant number, since it is smaller than the sum of its proper divisors (2093382).

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

1163664 is a wasteful number, since it uses less digits than its factorization.

1163664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8095 (or 8086 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 1163664 is about 1078.7325896625. The cubic root of 1163664 is about 105.1822684529.

The spelling of 1163664 in words is "one million, one hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 8081 16162 24243 32324 48486 64648 72729 96972 129296 145458 193944 290916 387888 581832 1163664