Search a number
-
+
111404928 = 273377841
BaseRepresentation
bin1101010001111…
…10011110000000
321202121221211110
412220332132000
5212004424203
615015443320
72521632465
oct650763600
9252557743
10111404928
1157981198
1231386540
131a10799b
1410b1d66c
159ba8d03
hex6a3e780

111404928 has 64 divisors (see below), whose sum is σ = 303955920. Its totient is φ = 36126720.

The previous prime is 111404897. The next prime is 111404929. The reversal of 111404928 is 829404111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1114049282 = 24822115965370368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111404895 and 111404904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111404929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10288 + ... + 18128.

Almost surely, 2111404928 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 111404928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151977960).

111404928 is an abundant number, since it is smaller than the sum of its proper divisors (192550992).

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

111404928 is an equidigital number, since it uses as much as digits as its factorization.

111404928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7895 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 111404928 is about 10554.8532912590. The cubic root of 111404928 is about 481.1732410775.

The spelling of 111404928 in words is "one hundred eleven million, four hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 7841 14208 15682 23523 31364 47046 62728 94092 125456 188184 250912 290117 376368 501824 580234 752736 870351 1003648 1160468 1505472 1740702 2320936 3010944 3481404 4641872 6962808 9283744 13925616 18567488 27851232 37134976 55702464 111404928