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172320060 = 2235111571663
BaseRepresentation
bin10100100010101…
…10010100111100
3110000020202200110
422101112110330
5323103220220
625033230020
74161460563
oct1221262474
9400222613
10172320060
11892a7680
1249862310
1329915343
1418c58bda
15101dcbe0
hexa45653c

172320060 has 96 divisors (see below), whose sum is σ = 530030592. Its totient is φ = 41483520.

The previous prime is 172320019. The next prime is 172320073. The reversal of 172320060 is 60023271.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102789 + ... + 104451.

It is an arithmetic number, because the mean of its divisors is an integer number (5521152).

Almost surely, 2172320060 is an apocalyptic number.

172320060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172320060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265015296).

172320060 is an abundant number, since it is smaller than the sum of its proper divisors (357710532).

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

172320060 is a wasteful number, since it uses less digits than its factorization.

172320060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 172320060 is about 13127.0735504910. The cubic root of 172320060 is about 556.4745142591.

The spelling of 172320060 in words is "one hundred seventy-two million, three hundred twenty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 157 165 220 314 330 471 628 660 785 942 1570 1663 1727 1884 2355 3140 3326 3454 4710 4989 5181 6652 6908 8315 8635 9420 9978 10362 16630 17270 18293 19956 20724 24945 25905 33260 34540 36586 49890 51810 54879 73172 91465 99780 103620 109758 182930 219516 261091 274395 365860 522182 548790 783273 1044364 1097580 1305455 1566546 2610910 2872001 3133092 3916365 5221820 5744002 7832730 8616003 11488004 14360005 15665460 17232006 28720010 34464012 43080015 57440020 86160030 172320060