Search a number
-
+
104267460 = 223511179293
BaseRepresentation
bin1100011011011…
…11111011000100
321021012100001210
412031233323010
5203143024320
614202451420
72404154523
oct615577304
9237170053
10104267460
1153946760
122ab03b70
13187a902b
14dbc24ba
1592490e0
hex636fec4

104267460 has 96 divisors (see below), whose sum is σ = 337260672. Its totient is φ = 23787520.

The previous prime is 104267417. The next prime is 104267489. The reversal of 104267460 is 64762401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6574 + ... + 15866.

It is an arithmetic number, because the mean of its divisors is an integer number (3513132).

Almost surely, 2104267460 is an apocalyptic number.

104267460 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 104267460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168630336).

104267460 is an abundant number, since it is smaller than the sum of its proper divisors (232993212).

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

104267460 is a wasteful number, since it uses less digits than its factorization.

104267460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9333 (or 9331 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 104267460 is about 10211.1439124126. The cubic root of 104267460 is about 470.6697257713.

The spelling of 104267460 in words is "one hundred four million, two hundred sixty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 9293 11220 18586 27879 37172 46465 55758 92930 102223 111516 139395 157981 185860 204446 278790 306669 315962 408892 473943 511115 557580 613338 631924 789905 947886 1022230 1226676 1533345 1579810 1737791 1895772 2044460 2369715 3066690 3159620 3475582 4739430 5213373 6133380 6951164 8688955 9478860 10426746 17377910 20853492 26066865 34755820 52133730 104267460