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172608 = 2632931
BaseRepresentation
bin101010001001000000
322202202220
4222021000
521010413
63411040
71316142
oct521100
9282686
10172608
11108757
1283a80
1360747
1446c92
1536223
hex2a240

172608 has 56 divisors (see below), whose sum is σ = 487680. Its totient is φ = 53760.

The previous prime is 172607. The next prime is 172619. The reversal of 172608 is 806271.

Adding to 172608 its reverse (806271), we get a palindrome (978879).

It can be divided in two parts, 172 and 608, that added together give a triangular number (780 = T39).

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

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (172603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5553 + ... + 5583.

2172608 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 172608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243840).

172608 is an abundant number, since it is smaller than the sum of its proper divisors (315072).

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

172608 is a wasteful number, since it uses less digits than its factorization.

172608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

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

The square root of 172608 is about 415.4611895232. The cubic root of 172608 is about 55.6784290745.

The spelling of 172608 in words is "one hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 174 186 192 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 1856 1984 2697 2784 2976 3596 5394 5568 5952 7192 10788 14384 21576 28768 43152 57536 86304 172608