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80104128 = 2631367479
BaseRepresentation
bin1001100011001…
…00101011000000
312120201201012120
410301210223000
5131001313003
611540524240
71661605506
oct461445300
9176651176
1080104128
1141242465
12229b0680
13137988c0
14a8d2676
157074853
hex4c64ac0

80104128 has 112 divisors (see below), whose sum is σ = 232135680. Its totient is φ = 24228864.

The previous prime is 80104109. The next prime is 80104139. The reversal of 80104128 is 82140108.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 80104098 and 80104107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166993 + ... + 167471.

It is an arithmetic number, because the mean of its divisors is an integer number (2072640).

Almost surely, 280104128 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 80104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116067840).

80104128 is an abundant number, since it is smaller than the sum of its proper divisors (152031552).

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

80104128 is a wasteful number, since it uses less digits than its factorization.

80104128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 80104128 is about 8950.0909492586. The cubic root of 80104128 is about 431.0738044342.

The spelling of 80104128 in words is "eighty million, one hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 67 78 96 104 134 156 192 201 208 268 312 402 416 479 536 624 804 832 871 958 1072 1248 1437 1608 1742 1916 2144 2496 2613 2874 3216 3484 3832 4288 5226 5748 6227 6432 6968 7664 10452 11496 12454 12864 13936 15328 18681 20904 22992 24908 27872 30656 32093 37362 41808 45984 49816 55744 64186 74724 83616 91968 96279 99632 128372 149448 167232 192558 199264 256744 298896 385116 398528 417209 513488 597792 770232 834418 1026976 1195584 1251627 1540464 1668836 2053952 2503254 3080928 3337672 5006508 6161856 6675344 10013016 13350688 20026032 26701376 40052064 80104128