Search a number
-
+
111255552 = 21333503
BaseRepresentation
bin1101010000110…
…10000000000000
321202100100221000
412220122000000
5211440134202
615012332000
72520441132
oct650320000
9252310830
10111255552
1157889a41
1231314000
131a0849b5
1410ac1052
159b7991c
hex6a1a000

111255552 has 112 divisors (see below), whose sum is σ = 330281280. Its totient is φ = 37011456.

The previous prime is 111255517. The next prime is 111255569. The reversal of 111255552 is 255552111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 220933 + ... + 221435.

It is an arithmetic number, because the mean of its divisors is an integer number (2948940).

Almost surely, 2111255552 is an apocalyptic number.

111255552 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 111255552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165140640).

111255552 is an abundant number, since it is smaller than the sum of its proper divisors (219025728).

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

111255552 is an frugal number, since it uses more digits than its factorization.

111255552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 508 counting only the distinct ones).

The product of its digits is 2500, while the sum is 27.

The square root of 111255552 is about 10547.7747416220. The cubic root of 111255552 is about 480.9580863745.

The spelling of 111255552 in words is "one hundred eleven million, two hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 503 512 576 768 864 1006 1024 1152 1509 1536 1728 2012 2048 2304 3018 3072 3456 4024 4096 4527 4608 6036 6144 6912 8048 8192 9054 9216 12072 12288 13581 13824 16096 18108 18432 24144 24576 27162 27648 32192 36216 36864 48288 54324 55296 64384 72432 73728 96576 108648 110592 128768 144864 193152 217296 221184 257536 289728 386304 434592 515072 579456 772608 869184 1030144 1158912 1545216 1738368 2060288 2317824 3090432 3476736 4120576 4635648 6180864 6953472 9271296 12361728 13906944 18542592 27813888 37085184 55627776 111255552