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11161152 = 26342153
BaseRepresentation
bin101010100100…
…111001000000
3210000001020000
4222210321000
510324124102
61035120000
7163603542
oct52447100
923001200
1011161152
1163335a2
1238a3000
13240a242
1416a7692
15ea701c
hexaa4e40

11161152 has 70 divisors (see below), whose sum is σ = 33100518. Its totient is φ = 3718656.

The previous prime is 11161127. The next prime is 11161153. The reversal of 11161152 is 25116111.

It is a happy number.

11161152 is a `hidden beast` number, since 1 + 1 + 1 + 611 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7096896 + 4064256 = 2664^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11161153) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4108 + ... + 6260.

Almost surely, 211161152 is an apocalyptic number.

11161152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16550259).

11161152 is an abundant number, since it is smaller than the sum of its proper divisors (21939366).

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

11161152 is an equidigital number, since it uses as much as digits as its factorization.

11161152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2158 counting only the distinct ones).

The product of its digits is 60, while the sum is 18.

The square root of 11161152 is about 3340.8310343386. The cubic root of 11161152 is about 223.4788052511.

Adding to 11161152 its reverse (25116111), we get a palindrome (36277263).

The spelling of 11161152 in words is "eleven million, one hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2153 2592 4306 5184 6459 8612 12918 17224 19377 25836 34448 38754 51672 58131 68896 77508 103344 116262 137792 155016 174393 206688 232524 310032 348786 413376 465048 620064 697572 930096 1240128 1395144 1860192 2790288 3720384 5580576 11161152