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172900530 = 232511215877
BaseRepresentation
bin10100100111001…
…00000010110010
3110001100020221100
422103210002302
5323230304110
625053505230
74166426115
oct1223440262
9401306840
10172900530
1189663800
1249aa2216
1329a8960a
1418d6a57c
15102a4bc0
hexa4e40b2

172900530 has 72 divisors (see below), whose sum is σ = 494155116. Its totient is φ = 41912640.

The previous prime is 172900529. The next prime is 172900531. The reversal of 172900530 is 35009271.

It is an interprime number because it is at equal distance from previous prime (172900529) and next prime (172900531).

It can be written as a sum of positive squares in 2 ways, for example, as 156425049 + 16475481 = 12507^2 + 4059^2 .

It is a junction number, because it is equal to n+sod(n) for n = 172900494 and 172900503.

It is not an unprimeable number, because it can be changed into a prime (172900531) 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 35 ways as a sum of consecutive naturals, for example, 2952 + ... + 18828.

Almost surely, 2172900530 is an apocalyptic number.

172900530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 172900530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247077558).

172900530 is an abundant number, since it is smaller than the sum of its proper divisors (321254586).

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

172900530 is a wasteful number, since it uses less digits than its factorization.

172900530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15912 (or 15898 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 172900530 is about 13149.1646122482. The cubic root of 172900530 is about 557.0986527341.

The spelling of 172900530 in words is "one hundred seventy-two million, nine hundred thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 15877 31754 47631 79385 95262 142893 158770 174647 238155 285786 349294 476310 523941 714465 873235 1047882 1428930 1571823 1746470 1921117 2619705 3143646 3842234 5239410 5763351 7859115 9605585 11526702 15718230 17290053 19211170 28816755 34580106 57633510 86450265 172900530