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1006104 = 2331137103
BaseRepresentation
bin11110101101000011000
31220010010010
43311220120
5224143404
633321520
711360151
oct3655030
91803103
101006104
116279a0
124062a0
13292c38
141c2928
1514d189
hexf5a18

1006104 has 64 divisors (see below), whose sum is σ = 2845440. Its totient is φ = 293760.

The previous prime is 1006091. The next prime is 1006123. The reversal of 1006104 is 4016001.

1006104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1006104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9717 + ... + 9819.

It is an arithmetic number, because the mean of its divisors is an integer number (44460).

21006104 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 1006104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422720).

1006104 is an abundant number, since it is smaller than the sum of its proper divisors (1839336).

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

1006104 is a wasteful number, since it uses less digits than its factorization.

1006104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1006104 is about 1003.0473568082. The cubic root of 1006104 is about 100.2030540780.

The spelling of 1006104 in words is "one million, six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 103 111 132 148 206 222 264 296 309 407 412 444 618 814 824 888 1133 1221 1236 1628 2266 2442 2472 3256 3399 3811 4532 4884 6798 7622 9064 9768 11433 13596 15244 22866 27192 30488 41921 45732 83842 91464 125763 167684 251526 335368 503052 1006104