Search a number
-
+
1128834 = 232717231
BaseRepresentation
bin100010011100110000010
32010100110200
410103212002
5242110314
640110030
712411030
oct4234602
92110420
101128834
11701123
12465316
13306a65
14215550
15174709
hex113982

1128834 has 72 divisors (see below), whose sum is σ = 3065088. Its totient is φ = 293760.

The previous prime is 1128823. The next prime is 1128889. The reversal of 1128834 is 4388211.

It is a super-3 number, since 3×11288343 = 4315305033328793112, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1128798 and 1128807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36399 + ... + 36429.

21128834 is an apocalyptic number.

1128834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1128834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532544).

1128834 is an abundant number, since it is smaller than the sum of its proper divisors (1936254).

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

1128834 is a wasteful number, since it uses less digits than its factorization.

1128834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1128834 is about 1062.4659994560. The cubic root of 1128834 is about 104.1222059503.

The spelling of 1128834 in words is "one million, one hundred twenty-eight thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 31 34 42 51 62 63 93 102 119 126 153 186 217 238 279 289 306 357 434 527 558 578 651 714 867 1054 1071 1302 1581 1734 1953 2023 2142 2601 3162 3689 3906 4046 4743 5202 6069 7378 8959 9486 11067 12138 17918 18207 22134 26877 33201 36414 53754 62713 66402 80631 125426 161262 188139 376278 564417 1128834