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1003104 = 253643
BaseRepresentation
bin11110100111001100000
31212222000000
43310321200
5224044404
633300000
711345334
oct3647140
91788000
101003104
11625713
12404600
1329176b
141c17c4
1514c339
hexf4e60

1003104 has 84 divisors (see below), whose sum is σ = 3029796. Its totient is φ = 326592.

The previous prime is 1003103. The next prime is 1003109. The reversal of 1003104 is 4013001.

1003104 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 (9).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003103) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23307 + ... + 23349.

It is an arithmetic number, because the mean of its divisors is an integer number (36069).

21003104 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 1003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514898).

1003104 is an abundant number, since it is smaller than the sum of its proper divisors (2026692).

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

1003104 is an frugal number, since it uses more digits than its factorization.

1003104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1003104 is about 1001.5507975135. The cubic root of 1003104 is about 100.1033597974.

Adding to 1003104 its reverse (4013001), we get a palindrome (5016105).

The spelling of 1003104 in words is "one million, three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 216 243 258 288 324 344 387 432 486 516 648 688 729 774 864 972 1032 1161 1296 1376 1458 1548 1944 2064 2322 2592 2916 3096 3483 3888 4128 4644 5832 6192 6966 7776 9288 10449 11664 12384 13932 18576 20898 23328 27864 31347 37152 41796 55728 62694 83592 111456 125388 167184 250776 334368 501552 1003104