Search a number
-
+
1001604 = 2231923191
BaseRepresentation
bin11110100100010000100
31212212221110
43310202010
5224022404
633245020
711341062
oct3644204
91785843
101001604
1162457a
12403770
13290b86
141c1032
1514bb89
hexf4884

1001604 has 48 divisors (see below), whose sum is σ = 2580480. Its totient is φ = 300960.

The previous prime is 1001593. The next prime is 1001621. The reversal of 1001604 is 4061001.

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 1001604.

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, 5149 + ... + 5339.

It is an arithmetic number, because the mean of its divisors is an integer number (53760).

21001604 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 1001604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290240).

1001604 is an abundant number, since it is smaller than the sum of its proper divisors (1578876).

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

1001604 is a wasteful number, since it uses less digits than its factorization.

1001604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

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

The square root of 1001604 is about 1000.8016786557. The cubic root of 1001604 is about 100.0534381053.

Adding to 1001604 its reverse (4061001), we get a palindrome (5062605).

The spelling of 1001604 in words is "one million, one thousand, six hundred four".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 191 228 276 382 437 573 764 874 1146 1311 1748 2292 2622 3629 4393 5244 7258 8786 10887 13179 14516 17572 21774 26358 43548 52716 83467 166934 250401 333868 500802 1001604