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104081328 = 24331343431
BaseRepresentation
bin1100011010000…
…10011110110000
321020211212202000
412031002132300
5203121100303
614154454000
72402451051
oct615023660
9236755660
10104081328
115382992a
122aa34300
13187423b0
14db74728
15920dda3
hex63427b0

104081328 has 160 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 31207680.

The previous prime is 104081323. The next prime is 104081357. The reversal of 104081328 is 823180401.

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 (104081321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241273 + ... + 241703.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2104081328 is an apocalyptic number.

104081328 is a gapful number since it is divisible by the number (18) 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 104081328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

104081328 is an abundant number, since it is smaller than the sum of its proper divisors (225897552).

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

104081328 is a wasteful number, since it uses less digits than its factorization.

104081328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 104081328 is about 10202.0256812066. The cubic root of 104081328 is about 470.3894885198.

The spelling of 104081328 in words is "one hundred four million, eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 43 48 52 54 72 78 86 104 108 117 129 144 156 172 208 216 234 258 312 344 351 387 431 432 468 516 559 624 688 702 774 862 936 1032 1118 1161 1293 1404 1548 1677 1724 1872 2064 2236 2322 2586 2808 3096 3354 3448 3879 4472 4644 5031 5172 5603 5616 6192 6708 6896 7758 8944 9288 10062 10344 11206 11637 13416 15093 15516 16809 18533 18576 20124 20688 22412 23274 26832 30186 31032 33618 37066 40248 44824 46548 50427 55599 60372 62064 67236 74132 80496 89648 93096 100854 111198 120744 134472 148264 151281 166797 186192 201708 222396 240929 241488 268944 296528 302562 333594 403416 444792 481858 500391 605124 667188 722787 806832 889584 963716 1000782 1210248 1334376 1445574 1927432 2001564 2168361 2420496 2668752 2891148 3854864 4003128 4336722 5782296 6505083 8006256 8673444 11564592 13010166 17346888 26020332 34693776 52040664 104081328