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172161120 = 2535358669
BaseRepresentation
bin10100100001011…
…11100001100000
3102222221200122210
422100233201200
5323033123440
625030002120
74160226315
oct1220574140
9388850583
10172161120
11891a921a
12497a6340
132988abb1
1418c16d0c
15101aaa80
hexa42f860

172161120 has 48 divisors (see below), whose sum is σ = 542309040. Its totient is φ = 45909504.

The previous prime is 172161107. The next prime is 172161127. The reversal of 172161120 is 21161271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172161127) 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, 178855 + ... + 179814.

It is an arithmetic number, because the mean of its divisors is an integer number (11298105).

Almost surely, 2172161120 is an apocalyptic number.

172161120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172161120 is an abundant number, since it is smaller than the sum of its proper divisors (370147920).

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

172161120 is a wasteful number, since it uses less digits than its factorization.

172161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358687 (or 358679 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 172161120 is about 13121.0182531692. The cubic root of 172161120 is about 556.3033729033.

It can be divided in two parts, 17216 and 1120, that added together give a triangular number (18336 = T191).

The spelling of 172161120 in words is "one hundred seventy-two million, one hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 358669 717338 1076007 1434676 1793345 2152014 2869352 3586690 4304028 5380035 5738704 7173380 8608056 10760070 11477408 14346760 17216112 21520140 28693520 34432224 43040280 57387040 86080560 172161120