Search a number
-
+
104261094 = 2357191613
BaseRepresentation
bin1100011011011…
…10010111100110
321021012000100000
412031232113212
5203142323334
614202402130
72404130130
oct615562746
9237160300
10104261094
11539419a3
122ab00346
13187a6172
14dbc0050
159247299
hex636e5e6

104261094 has 96 divisors (see below), whose sum is σ = 281998080. Its totient is φ = 28203552.

The previous prime is 104261089. The next prime is 104261107. The reversal of 104261094 is 490162401.

104261094 is a `hidden beast` number, since 1 + 0 + 42 + 610 + 9 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63832 + ... + 65444.

It is an arithmetic number, because the mean of its divisors is an integer number (2937480).

Almost surely, 2104261094 is an apocalyptic number.

104261094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104261094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140999040).

104261094 is an abundant number, since it is smaller than the sum of its proper divisors (177736986).

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

104261094 is a wasteful number, since it uses less digits than its factorization.

104261094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 104261094 is about 10210.8321893957. The cubic root of 104261094 is about 470.6601467379.

The spelling of 104261094 in words is "one hundred four million, two hundred sixty-one thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 243 266 342 378 399 486 513 567 798 1026 1134 1197 1539 1613 1701 2394 3078 3226 3402 3591 4617 4839 7182 9234 9678 10773 11291 14517 21546 22582 29034 30647 32319 33873 43551 61294 64638 67746 87102 91941 101619 130653 183882 203238 214529 261306 275823 304857 391959 429058 551646 609714 643587 783918 827469 914571 1287174 1654938 1829142 1930761 2482407 2743713 3861522 4964814 5487426 5792283 7447221 11584566 14894442 17376849 34753698 52130547 104261094