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172142712 = 23337257443
BaseRepresentation
bin10100100001010…
…11000001111000
3102222220202102000
422100223001320
5323032031322
625025341000
74160121540
oct1220530170
9388822360
10172142712
1189196405
1249797760
13298826c1
1418c10320
15101a53ac
hexa42b078

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".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 257 378 443 504 514 756 771 886 1028 1329 1512 1542 1772 1799 2056 2313 2658 3084 3101 3544 3598 3987 4626 5316 5397 6168 6202 6939 7196 7974 9252 9303 10632 10794 11961 12404 13878 14392 15948 16191 18504 18606 21588 23922 24808 27756 27909 31896 32382 37212 43176 47844 48573 55512 55818 64764 74424 83727 95688 97146 111636 113851 129528 167454 194292 223272 227702 334908 341553 388584 455404 669816 683106 796957 910808 1024659 1366212 1593914 2049318 2390871 2732424 3073977 3187828 4098636 4781742 6147954 6375656 7172613 8197272 9563484 12295908 14345226 19126968 21517839 24591816 28690452 43035678 57380904 86071356 172142712