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1105152 = 2831439
BaseRepresentation
bin100001101110100000000
32002010222120
410031310000
5240331102
635404240
712252006
oct4156400
92063876
101105152
11695354
12453680
132c9049
1420aa76
1516c6bc
hex10dd00

1105152 has 36 divisors (see below), whose sum is σ = 2943360. Its totient is φ = 368128.

The previous prime is 1105141. The next prime is 1105157. The reversal of 1105152 is 2515011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105157) 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 3 ways as a sum of consecutive naturals, for example, 49 + ... + 1487.

It is an arithmetic number, because the mean of its divisors is an integer number (81760).

21105152 is an apocalyptic number.

1105152 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 1105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471680).

1105152 is an abundant number, since it is smaller than the sum of its proper divisors (1838208).

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

1105152 is an equidigital number, since it uses as much as digits as its factorization.

1105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 1105152 is about 1051.2620986224. The cubic root of 1105152 is about 103.3889214149.

The spelling of 1105152 in words is "one million, one hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1439 2878 4317 5756 8634 11512 17268 23024 34536 46048 69072 92096 138144 184192 276288 368384 552576 1105152