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1004076 = 22351033
BaseRepresentation
bin11110101001000101100
31220000100000
43311020230
5224112301
633304300
711351223
oct3651054
91800300
101004076
11626417
12405090
13292038
141c1cba
1514c786
hexf522c

1004076 has 36 divisors (see below), whose sum is σ = 2634632. Its totient is φ = 334368.

The previous prime is 1004063. The next prime is 1004077. The reversal of 1004076 is 6704001.

1004076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10040762 = 2016337227552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456 + ... + 1488.

21004076 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 1004076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317316).

1004076 is an abundant number, since it is smaller than the sum of its proper divisors (1630556).

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

1004076 is a wasteful number, since it uses less digits than its factorization.

1004076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1004076 is about 1002.0359274996. The cubic root of 1004076 is about 100.1356824860.

Adding to 1004076 its reverse (6704001), we get a palindrome (7708077).

The spelling of 1004076 in words is "one million, four thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1033 2066 3099 4132 6198 9297 12396 18594 27891 37188 55782 83673 111564 167346 251019 334692 502038 1004076