Search a number
-
+
104911794 = 233131759149
BaseRepresentation
bin1100100000011…
…01001110110010
321022102001221000
412100031032302
5203324134134
614224342430
72412510201
oct620151662
9238361830
10104911794
1154246869
122b174a16
13189733b0
14dd0d238
159324e99
hex640d3b2

104911794 has 128 divisors (see below), whose sum is σ = 272160000. Its totient is φ = 29666304.

The previous prime is 104911789. The next prime is 104911813. The reversal of 104911794 is 497119401.

It is a super-2 number, since 2×1049117942 = 22012969040596872, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 704032 + ... + 704180.

It is an arithmetic number, because the mean of its divisors is an integer number (2126250).

Almost surely, 2104911794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104911794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080000).

104911794 is an abundant number, since it is smaller than the sum of its proper divisors (167248206).

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

104911794 is a wasteful number, since it uses less digits than its factorization.

104911794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 104911794 is about 10242.6458495840. The cubic root of 104911794 is about 471.6372566051.

The spelling of 104911794 in words is "one hundred four million, nine hundred eleven thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 59 78 102 117 118 149 153 177 221 234 298 306 351 354 442 447 459 531 663 702 767 894 918 1003 1062 1326 1341 1534 1593 1937 1989 2006 2301 2533 2682 3009 3186 3874 3978 4023 4602 5066 5811 5967 6018 6903 7599 8046 8791 9027 11622 11934 13039 13806 15198 17433 17582 18054 20709 22797 26078 26373 27081 32929 34866 39117 41418 45594 52299 52746 54162 65858 68391 78234 79119 98787 104598 114283 117351 136782 149447 158238 197574 228566 234702 237357 296361 298894 342849 352053 448341 474714 592722 685698 704106 889083 896682 1028547 1345023 1778166 1942811 2057094 2690046 3085641 3885622 4035069 5828433 6171282 8070138 11656866 17485299 34970598 52455897 104911794