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870912128 = 2761711571
BaseRepresentation
bin110011111010010…
…001000010000000
32020200202220211202
4303322101002000
53240423142003
6222230400332
730403426262
oct6372210200
92220686752
10870912128
11407675199
122038000a8
1310b580928
1483947b32
15516d3088
hex33e91080

870912128 has 64 divisors (see below), whose sum is σ = 1789439040. Its totient is φ = 422016000.

The previous prime is 870912083. The next prime is 870912143. The reversal of 870912128 is 821219078.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 870912091 and 870912100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 553583 + ... + 555153.

It is an arithmetic number, because the mean of its divisors is an integer number (27959985).

Almost surely, 2870912128 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 870912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894719520).

870912128 is an abundant number, since it is smaller than the sum of its proper divisors (918526912).

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

870912128 is a wasteful number, since it uses less digits than its factorization.

870912128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 870912128 is about 29511.2203746304. The cubic root of 870912128 is about 954.9737766800.

The spelling of 870912128 in words is "eight hundred seventy million, nine hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 61 64 71 122 128 142 244 284 488 568 976 1136 1571 1952 2272 3142 3904 4331 4544 6284 7808 8662 9088 12568 17324 25136 34648 50272 69296 95831 100544 111541 138592 191662 201088 223082 277184 383324 446164 554368 766648 892328 1533296 1784656 3066592 3569312 6133184 6804001 7138624 12266368 13608002 14277248 27216004 54432008 108864016 217728032 435456064 870912128