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1133076 = 223724147
BaseRepresentation
bin100010100101000010100
32010120021210
410110220110
5242224301
640141420
712426300
oct4245024
92116253
101133076
1170432a
12467870
13308979
14216d00
15175ad6
hex114a14

1133076 has 72 divisors (see below), whose sum is σ = 3217536. Its totient is φ = 309120.

The previous prime is 1133071. The next prime is 1133131. The reversal of 1133076 is 6703311.

It is a super-2 number, since 2×11330762 = 2567722443552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133071) 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 23 ways as a sum of consecutive naturals, for example, 24085 + ... + 24131.

It is an arithmetic number, because the mean of its divisors is an integer number (44688).

21133076 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 1133076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608768).

1133076 is an abundant number, since it is smaller than the sum of its proper divisors (2084460).

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

1133076 is a wasteful number, since it uses less digits than its factorization.

1133076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 1133076 is about 1064.4604266951. The cubic root of 1133076 is about 104.2524684703.

1133076 divided by its sum of digits (21) gives a triangular number (53956 = T328).

Adding to 1133076 its reverse (6703311), we get a palindrome (7836387).

The spelling of 1133076 in words is "one million, one hundred thirty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 47 49 82 84 94 98 123 141 147 164 188 196 246 282 287 294 329 492 564 574 588 658 861 987 1148 1316 1722 1927 1974 2009 2303 3444 3854 3948 4018 4606 5781 6027 6909 7708 8036 9212 11562 12054 13489 13818 23124 24108 26978 27636 40467 53956 80934 94423 161868 188846 283269 377692 566538 1133076