Search a number
-
+
1604103540 = 22351315713099
BaseRepresentation
bin101111110011100…
…1010110101110100
311010210101220101020
41133213022311310
511241122303130
6423101301140
754515440464
oct13747126564
94123356336
101604103540
11753524806
123892647b0
131c74417c0
14113081ba4
1595c5ee10
hex5f9cad74

1604103540 has 96 divisors (see below), whose sum is σ = 4868169600. Its totient is φ = 392311296.

The previous prime is 1604103521. The next prime is 1604103607. The reversal of 1604103540 is 453014061.

It is a self number, because there is not a number n which added to its sum of digits gives 1604103540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115911 + ... + 129009.

It is an arithmetic number, because the mean of its divisors is an integer number (50710100).

Almost surely, 21604103540 is an apocalyptic number.

1604103540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1604103540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434084800).

1604103540 is an abundant number, since it is smaller than the sum of its proper divisors (3264066060).

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

1604103540 is a wasteful number, since it uses less digits than its factorization.

1604103540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13281 (or 13279 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1604103540 is about 40051.2614033566. The cubic root of 1604103540 is about 1170.6061436598.

The spelling of 1604103540 in words is "one billion, six hundred four million, one hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 157 195 260 314 390 471 628 780 785 942 1570 1884 2041 2355 3140 4082 4710 6123 8164 9420 10205 12246 13099 20410 24492 26198 30615 39297 40820 52396 61230 65495 78594 122460 130990 157188 170287 196485 261980 340574 392970 510861 681148 785940 851435 1021722 1702870 2043444 2056543 2554305 3405740 4113086 5108610 6169629 8226172 10217220 10282715 12339258 20565430 24678516 26735059 30848145 41130860 53470118 61696290 80205177 106940236 123392580 133675295 160410354 267350590 320820708 401025885 534701180 802051770 1604103540