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172000026 = 2321123179211
BaseRepresentation
bin10100100000010…
…00001100011010
3102222122111200100
422100020030122
5323013000101
625022320230
74155655542
oct1220101432
9388574610
10172000026
11890a9190
1249729076
1329832783
1418bb4322
1510177e86
hexa40831a

172000026 has 96 divisors (see below), whose sum is σ = 428613120. Its totient is φ = 49341600.

The previous prime is 172000021. The next prime is 172000057. The reversal of 172000026 is 620000271.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 171999972 and 172000008.

It is not an unprimeable number, because it can be changed into a prime (172000021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 815061 + ... + 815271.

It is an arithmetic number, because the mean of its divisors is an integer number (4464720).

Almost surely, 2172000026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172000026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214306560).

172000026 is an abundant number, since it is smaller than the sum of its proper divisors (256613094).

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

172000026 is a wasteful number, since it uses less digits than its factorization.

172000026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 172000026 is about 13114.8780398447. The cubic root of 172000026 is about 556.1298046742.

Adding to 172000026 its reverse (620000271), we get a palindrome (792000297).

It can be divided in two parts, 1 and 72000026, that added together give a palindrome (72000027).

The spelling of 172000026 in words is "one hundred seventy-two million, twenty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 179 198 207 211 253 358 414 422 506 537 633 759 1074 1266 1518 1611 1899 1969 2277 2321 3222 3798 3938 4117 4554 4642 4853 5907 6963 8234 9706 11814 12351 13926 14559 17721 20889 24702 29118 35442 37053 37769 41778 43677 45287 53383 74106 75538 87354 90574 106766 113307 135861 160149 226614 271722 320298 339921 407583 415459 480447 679842 815166 830918 868687 960894 1246377 1737374 2492754 2606061 3739131 5212122 7478262 7818183 9555557 15636366 19111114 28666671 57333342 86000013 172000026