Search a number
-
+
1111001928 = 233415412087
BaseRepresentation
bin100001000111000…
…1000101101001000
32212102112202010120
41002032020231020
54233404030203
6302124343240
736350234451
oct10216105510
92772482116
101111001928
1152014a213
122700a4b20
131492335ba
14a77a4128
156780ab53
hex42388b48

1111001928 has 64 divisors (see below), whose sum is σ = 2851873920. Its totient is φ = 360460800.

The previous prime is 1111001921. The next prime is 1111001929. The reversal of 1111001928 is 8291001111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1111001898 and 1111001907.

It is not an unprimeable number, because it can be changed into a prime (1111001921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531301 + ... + 533387.

It is an arithmetic number, because the mean of its divisors is an integer number (44560530).

Almost surely, 21111001928 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 1111001928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425936960).

1111001928 is an abundant number, since it is smaller than the sum of its proper divisors (1740871992).

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

1111001928 is a wasteful number, since it uses less digits than its factorization.

1111001928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 24.

The square root of 1111001928 is about 33331.6955464315. The cubic root of 1111001928 is about 1035.7102418088.

The spelling of 1111001928 in words is "one billion, one hundred eleven million, one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 541 984 1082 1623 2087 2164 3246 4174 4328 6261 6492 8348 12522 12984 16696 22181 25044 44362 50088 66543 85567 88724 133086 171134 177448 256701 266172 342268 513402 532344 684536 1026804 1129067 2053608 2258134 3387201 4516268 6774402 9032536 13548804 27097608 46291747 92583494 138875241 185166988 277750482 370333976 555500964 1111001928