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1147968 = 26321993
BaseRepresentation
bin100011000010001000000
32011022201100
410120101000
5243213333
640334400
712520563
oct4302100
92138640
101147968
11714538
12474400
13312693
1421c4da
1517a213
hex118440

1147968 has 42 divisors (see below), whose sum is σ = 3292094. Its totient is φ = 382464.

The previous prime is 1147931. The next prime is 1147969. The reversal of 1147968 is 8697411.

It can be written as a sum of positive squares in only one way, i.e., 1065024 + 82944 = 1032^2 + 288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1147969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 421 + ... + 1572.

21147968 is an apocalyptic number.

1147968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1147968 is an abundant number, since it is smaller than the sum of its proper divisors (2144126).

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

1147968 is a wasteful number, since it uses less digits than its factorization.

1147968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1998 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 1147968 is about 1071.4326857064. The cubic root of 1147968 is about 104.7072115404.

The spelling of 1147968 in words is "one million, one hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1993 3986 5979 7972 11958 15944 17937 23916 31888 35874 47832 63776 71748 95664 127552 143496 191328 286992 382656 573984 1147968