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172160968 = 23741167449
BaseRepresentation
bin10100100001011…
…11011111001000
3102222221200110011
422100233133020
5323033122333
625030001304
74160226010
oct1220573710
9388850404
10172160968
11891a90a1
12497a6234
132988aac5
1418c16c40
15101aa9cd
hexa42f7c8

172160968 has 64 divisors (see below), whose sum is σ = 381024000. Its totient is φ = 71393280.

The previous prime is 172160941. The next prime is 172160969. The reversal of 172160968 is 869061271.

172160968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 172160968.

It is not an unprimeable number, because it can be changed into a prime (172160969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383208 + ... + 383656.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 2172160968 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 172160968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

172160968 is an abundant number, since it is smaller than the sum of its proper divisors (208863032).

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

172160968 is a wasteful number, since it uses less digits than its factorization.

172160968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 172160968 is about 13121.0124609346. The cubic root of 172160968 is about 556.3032091843.

The spelling of 172160968 in words is "one hundred seventy-two million, one hundred sixty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 167 287 328 334 449 574 668 898 1148 1169 1336 1796 2296 2338 3143 3592 4676 6286 6847 9352 12572 13694 18409 25144 27388 36818 47929 54776 73636 74983 95858 128863 147272 149966 191716 257726 299932 383432 515452 524881 599864 1030904 1049762 2099524 3074303 4199048 6148606 12297212 21520121 24594424 43040242 86080484 172160968