Base | Representation |
---|---|
bin | 10100100001010… |
… | …11000001111000 |
3 | 102222220202102000 |
4 | 22100223001320 |
5 | 323032031322 |
6 | 25025341000 |
7 | 4160121540 |
oct | 1220530170 |
9 | 388822360 |
10 | 172142712 |
11 | 89196405 |
12 | 49797760 |
13 | 298826c1 |
14 | 18c10320 |
15 | 101a53ac |
hex | a42b078 |
172142712 has 128 divisors (see below), whose sum is σ = 549849600. Its totient is φ = 48881664.
The previous prime is 172142701. The next prime is 172142713. The reversal of 172142712 is 217241271.
It is a happy number.
It is a super-2 number, since 2×1721427122 = 59266226589429888, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (172142713) 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 31 ways as a sum of consecutive naturals, for example, 388363 + ... + 388805.
It is an arithmetic number, because the mean of its divisors is an integer number (4295700).
Almost surely, 2172142712 is an apocalyptic number.
172142712 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 172142712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274924800).
172142712 is an abundant number, since it is smaller than the sum of its proper divisors (377706888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
172142712 is a wasteful number, since it uses less digits than its factorization.
172142712 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 722 (or 712 counting only the distinct ones).
The product of its digits is 1568, while the sum is 27.
The square root of 172142712 is about 13120.3167644688. The cubic root of 172142712 is about 556.2835449702.
Adding to 172142712 its reverse (217241271), we get a palindrome (389383983).
It can be divided in two parts, 172 and 142712, that added together give a square (142884 = 3782).
The spelling of 172142712 in words is "one hundred seventy-two million, one hundred forty-two thousand, seven hundred twelve".
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