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71173120 = 210513901
BaseRepresentation
bin1000011111000…
…00010000000000
311221220222011111
410033200100000
5121210014440
611021253104
71522650544
oct417402000
9157828144
1071173120
11371a2467
121ba04194
131198c795
149649a24
1563ad4ea
hex43e0400

71173120 has 44 divisors (see below), whose sum is σ = 170744364. Its totient is φ = 28467200.

The previous prime is 71173111. The next prime is 71173129. The reversal of 71173120 is 2137117.

It is an interprime number because it is at equal distance from previous prime (71173111) and next prime (71173129).

It can be written as a sum of positive squares in 2 ways, for example, as 42614784 + 28558336 = 6528^2 + 5344^2 .

It is a super-2 number, since 2×711731202 = 10131226021068800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71173091 and 71173100.

It is not an unprimeable number, because it can be changed into a prime (71173129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1831 + ... + 12070.

Almost surely, 271173120 is an apocalyptic number.

It is an amenable number.

71173120 is an abundant number, since it is smaller than the sum of its proper divisors (99571244).

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

71173120 is a wasteful number, since it uses less digits than its factorization.

71173120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13926 (or 13908 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 71173120 is about 8436.4163007761. The cubic root of 71173120 is about 414.4180549967.

The spelling of 71173120 in words is "seventy-one million, one hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 13901 27802 55604 69505 111208 139010 222416 278020 444832 556040 889664 1112080 1779328 2224160 3558656 4448320 7117312 8896640 14234624 17793280 35586560 71173120