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873161120 = 25513419789
BaseRepresentation
bin110100000010110…
…110000110100000
32020212000011212202
4310002312012200
53242012123440
6222350512332
730431514146
oct6402660640
92225004782
10873161120
11408970967
122045056a8
1310bb8a4b0
1483d71596
15519c9615
hex340b61a0

873161120 has 48 divisors (see below), whose sum is σ = 2221528680. Its totient is φ = 322397184.

The previous prime is 873161083. The next prime is 873161129. The reversal of 873161120 is 21161378.

It can be written as a sum of positive squares in 4 ways, for example, as 383689744 + 489471376 = 19588^2 + 22124^2 .

It is not an unprimeable number, because it can be changed into a prime (873161129) by changing a digit.

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, 207815 + ... + 211974.

Almost surely, 2873161120 is an apocalyptic number.

873161120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

873161120 is an abundant number, since it is smaller than the sum of its proper divisors (1348367560).

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

873161120 is a wasteful number, since it uses less digits than its factorization.

873161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419817 (or 419809 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 873161120 is about 29549.2998225000. The cubic root of 873161120 is about 955.7950927235.

The spelling of 873161120 in words is "eight hundred seventy-three million, one hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 419789 839578 1679156 2098945 3358312 4197890 5457257 6716624 8395780 10914514 13433248 16791560 21829028 27286285 33583120 43658056 54572570 67166240 87316112 109145140 174632224 218290280 436580560 873161120