Search a number
-
+
104154444 = 22331724771
BaseRepresentation
bin1100011010101…
…00010101001100
321020222121001000
412031110111030
5203130420234
614200220300
72403204162
oct615242514
9236877030
10104154444
1153879859
122aa6a690
1318769764
14db93232
159225899
hex635454c

104154444 has 144 divisors (see below), whose sum is σ = 297077760. Its totient is φ = 31530240.

The previous prime is 104154443. The next prime is 104154481. The reversal of 104154444 is 444451401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104154443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1466929 + ... + 1466999.

It is an arithmetic number, because the mean of its divisors is an integer number (2063040).

Almost surely, 2104154444 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 104154444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148538880).

104154444 is an abundant number, since it is smaller than the sum of its proper divisors (192923316).

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

104154444 is a wasteful number, since it uses less digits than its factorization.

104154444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 104154444 is about 10205.6084580979. The cubic root of 104154444 is about 470.4996105691.

The spelling of 104154444 in words is "one hundred four million, one hundred fifty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 47 51 54 68 71 94 102 108 141 142 153 188 204 213 282 284 289 306 423 426 459 564 578 612 639 799 846 852 867 918 1156 1207 1269 1278 1598 1692 1734 1836 1917 2397 2414 2538 2556 2601 3196 3337 3468 3621 3834 4794 4828 5076 5202 6674 7191 7242 7668 7803 9588 10011 10404 10863 13348 13583 14382 14484 15606 20022 20519 21573 21726 27166 28764 30033 31212 32589 40044 40749 41038 43146 43452 54332 56729 60066 61557 65178 81498 82076 86292 90099 113458 120132 122247 123114 130356 162996 170187 180198 184671 226916 244494 246228 340374 360396 366741 369342 488988 510561 554013 680748 733482 738684 964393 1021122 1108026 1466964 1531683 1928786 2042244 2216052 2893179 3063366 3857572 5786358 6126732 8679537 11572716 17359074 26038611 34718148 52077222 104154444