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840982128 = 24372579739
BaseRepresentation
bin110010001000000…
…101111001110000
32011121110022121020
4302020011321300
53210242412003
6215241055440
726561141640
oct6210057160
92147408536
10840982128
113a1792358
121b5787580
1310530177c
147d996520
154dc6ed53
hex32205e70

840982128 has 80 divisors (see below), whose sum is σ = 2492816640. Its totient is φ = 239321088.

The previous prime is 840982127. The next prime is 840982157. The reversal of 840982128 is 821289048.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 840982128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840982127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81483 + ... + 91221.

It is an arithmetic number, because the mean of its divisors is an integer number (31160208).

Almost surely, 2840982128 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 840982128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246408320).

840982128 is an abundant number, since it is smaller than the sum of its proper divisors (1651834512).

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

840982128 is a wasteful number, since it uses less digits than its factorization.

840982128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10014 (or 10008 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 840982128 is about 28999.6918604319. The cubic root of 840982128 is about 943.9063813604.

The spelling of 840982128 in words is "eight hundred forty million, nine hundred eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 257 336 514 771 1028 1542 1799 2056 3084 3598 4112 5397 6168 7196 9739 10794 12336 14392 19478 21588 28784 29217 38956 43176 58434 68173 77912 86352 116868 136346 155824 204519 233736 272692 409038 467472 545384 818076 1090768 1636152 2502923 3272304 5005846 7508769 10011692 15017538 17520461 20023384 30035076 35040922 40046768 52561383 60070152 70081844 105122766 120140304 140163688 210245532 280327376 420491064 840982128