Search a number
-
+
6355104 = 25373193
BaseRepresentation
bin11000001111100010100000
3102221212120020
4120033202200
53111330404
6344113440
7105006000
oct30174240
912855506
106355104
113650758
122165880
131416822
14bb6000
15857ed9
hex60f8a0

6355104 has 96 divisors (see below), whose sum is σ = 19555200. Its totient is φ = 1806336.

The previous prime is 6355103. The next prime is 6355121. The reversal of 6355104 is 4015536.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6355103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32832 + ... + 33024.

It is an arithmetic number, because the mean of its divisors is an integer number (203700).

Almost surely, 26355104 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 6355104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9777600).

6355104 is an abundant number, since it is smaller than the sum of its proper divisors (13200096).

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

6355104 is a wasteful number, since it uses less digits than its factorization.

6355104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 6355104 is about 2520.9331605578. The cubic root of 6355104 is about 185.2283909223.

The spelling of 6355104 in words is "six million, three hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 193 196 224 294 336 343 386 392 579 588 672 686 772 784 1029 1158 1176 1351 1372 1544 1568 2058 2316 2352 2702 2744 3088 4053 4116 4632 4704 5404 5488 6176 8106 8232 9264 9457 10808 10976 16212 16464 18528 18914 21616 28371 32424 32928 37828 43232 56742 64848 66199 75656 113484 129696 132398 151312 198597 226968 264796 302624 397194 453936 529592 794388 907872 1059184 1588776 2118368 3177552 6355104