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172663540 = 225710112211
BaseRepresentation
bin10100100101010…
…10001011110100
3110000220012211221
422102222023310
5323200213130
625044440124
74164421150
oct1222521364
9400805757
10172663540
1189511745
12499a9044
1329a0579a
1418d08060
151025987a
hexa4aa2f4

172663540 has 48 divisors (see below), whose sum is σ = 418529664. Its totient is φ = 58608000.

The previous prime is 172663531. The next prime is 172663549. The reversal of 172663540 is 45366271.

It is a happy number.

172663540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (172663531) and next prime (172663549).

It is a junction number, because it is equal to n+sod(n) for n = 172663496 and 172663505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172663549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8035 + ... + 20245.

It is an arithmetic number, because the mean of its divisors is an integer number (8719368).

Almost surely, 2172663540 is an apocalyptic number.

172663540 is a gapful number since it is divisible by the number (10) 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 172663540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209264832).

172663540 is an abundant number, since it is smaller than the sum of its proper divisors (245866124).

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

172663540 is a wasteful number, since it uses less digits than its factorization.

172663540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12328 (or 12326 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 172663540 is about 13140.1499230412. The cubic root of 172663540 is about 556.8440030856.

The spelling of 172663540 in words is "one hundred seventy-two million, six hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 12211 14140 24422 48844 61055 85477 122110 170954 244220 341908 427385 854770 1233311 1709540 2466622 4933244 6166555 8633177 12333110 17266354 24666220 34532708 43165885 86331770 172663540