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104005044 = 2232111389227
BaseRepresentation
bin1100011001011…
…11110110110100
321020201000002200
412030233312310
5203111130134
614153104500
72402012463
oct614576664
9236630080
10104005044
1153787590
122a9b8130
1318716760
14db549da
1591e6499
hex632fdb4

104005044 has 144 divisors (see below), whose sum is σ = 313709760. Its totient is φ = 28638720.

The previous prime is 104005007. The next prime is 104005067. The reversal of 104005044 is 440500401.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 458059 + ... + 458285.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2104005044 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 104005044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

104005044 is an abundant number, since it is smaller than the sum of its proper divisors (209704716).

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

104005044 is a wasteful number, since it uses less digits than its factorization.

104005044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 104005044 is about 10198.2863266335. The cubic root of 104005044 is about 470.2745400701.

Adding to 104005044 its reverse (440500401), we get a palindrome (544505445).

The spelling of 104005044 in words is "one hundred four million, five thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 89 99 117 132 143 156 178 198 227 234 267 286 356 396 429 454 468 534 572 681 801 858 908 979 1068 1157 1287 1362 1602 1716 1958 2043 2314 2497 2574 2724 2937 2951 3204 3471 3916 4086 4628 4994 5148 5874 5902 6942 7491 8172 8811 8853 9988 10413 11748 11804 12727 13884 14982 17622 17706 20203 20826 22473 25454 26559 29964 32461 35244 35412 38181 40406 41652 44946 50908 53118 60609 64922 76362 80812 89892 97383 106236 114543 121218 129844 152724 181827 194766 222233 229086 242436 262639 292149 363654 389532 444466 458172 525278 584298 666699 727308 787917 888932 1050556 1168596 1333398 1575834 2000097 2363751 2666796 2889029 3151668 4000194 4727502 5778058 8000388 8667087 9455004 11556116 17334174 26001261 34668348 52002522 104005044