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104005020 = 22357298539
BaseRepresentation
bin1100011001011…
…11110110011100
321020201000001210
412030233312130
5203111130040
614153104420
72402012430
oct614576634
9236630053
10104005020
1153787569
122a9b8110
1318716742
14db549c0
1591e6480
hex632fd9c

104005020 has 96 divisors (see below), whose sum is σ = 344332800. Its totient is φ = 22950144.

The previous prime is 104005007. The next prime is 104005067. The reversal of 104005020 is 20500401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 104004987 and 104005005.

It is a congruent number.

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, 7911 + ... + 16449.

It is an arithmetic number, because the mean of its divisors is an integer number (3586800).

Almost surely, 2104005020 is an apocalyptic number.

104005020 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 104005020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172166400).

104005020 is an abundant number, since it is smaller than the sum of its proper divisors (240327780).

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

104005020 is a wasteful number, since it uses less digits than its factorization.

104005020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8587 (or 8585 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 104005020 is about 10198.2851499652. The cubic root of 104005020 is about 470.2745038969.

Adding to 104005020 its reverse (20500401), we get a palindrome (124505421).

The spelling of 104005020 in words is "one hundred four million, five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 2030 2436 3045 4060 6090 8539 12180 17078 25617 34156 42695 51234 59773 85390 102468 119546 128085 170780 179319 239092 247631 256170 298865 358638 495262 512340 597730 717276 742893 896595 990524 1195460 1238155 1485786 1733417 1793190 2476310 2971572 3466834 3586380 3714465 4952620 5200251 6933668 7428930 8667085 10400502 14857860 17334170 20801004 26001255 34668340 52002510 104005020