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1161472 = 2813349
BaseRepresentation
bin100011011100100000000
32012000020111
410123210000
5244131342
640521104
712605134
oct4334400
92160214
101161472
117236a4
12480194
13318880
142233c4
1517e217
hex11b900

1161472 has 36 divisors (see below), whose sum is σ = 2503900. Its totient is φ = 534528.

The previous prime is 1161463. The next prime is 1161481. The reversal of 1161472 is 2741611.

It is an interprime number because it is at equal distance from previous prime (1161463) and next prime (1161481).

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 665856 = 704^2 + 816^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a cake number, because a cake can be divided into 1161472 parts by 191 planar cuts.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3154 + ... + 3502.

21161472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251950).

1161472 is an abundant number, since it is smaller than the sum of its proper divisors (1342428).

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

1161472 is an equidigital number, since it uses as much as digits as its factorization.

1161472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its digits is 336, while the sum is 22.

The square root of 1161472 is about 1077.7161036191. The cubic root of 1161472 is about 105.1161828094.

The spelling of 1161472 in words is "one million, one hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 349 416 698 832 1396 1664 2792 3328 4537 5584 9074 11168 18148 22336 36296 44672 72592 89344 145184 290368 580736 1161472