Search a number
-
+
172108032 = 283317229
BaseRepresentation
bin10100100001000…
…10100100000000
3102222211222211120
422100202210000
5323024424112
625024512240
74156615455
oct1220424400
9388758746
10172108032
1189172348
124977b680
132986c995
1418c0182c
1510199e8c
hexa422900

172108032 has 72 divisors (see below), whose sum is σ = 472899840. Its totient is φ = 55511040.

The previous prime is 172108019. The next prime is 172108033. The reversal of 172108032 is 230801271.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 172107993 and 172108011.

It is not an unprimeable number, because it can be changed into a prime (172108033) 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 7 ways as a sum of consecutive naturals, for example, 20194 + ... + 27422.

Almost surely, 2172108032 is an apocalyptic number.

172108032 is a gapful number since it is divisible by the number (12) 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 172108032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236449920).

172108032 is an abundant number, since it is smaller than the sum of its proper divisors (300791808).

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

172108032 is an equidigital number, since it uses as much as digits as its factorization.

172108032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 172108032 is about 13118.9950834658. The cubic root of 172108032 is about 556.2461860278.

The spelling of 172108032 in words is "one hundred seventy-two million, one hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7229 7936 11904 14458 21687 23808 28916 43374 57832 86748 115664 173496 224099 231328 346992 448198 462656 672297 693984 896396 925312 1344594 1387968 1792792 1850624 2689188 2775936 3585584 5378376 5551872 7171168 10756752 14342336 21513504 28684672 43027008 57369344 86054016 172108032