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172006580 = 22561140989
BaseRepresentation
bin10100100000010…
…01110010110100
3102222122211200002
422100021302310
5323013202310
625022410432
74156013624
oct1220116264
9388584602
10172006580
11891030a9
1249730a18
1329835755
1418bb6884
1510179da5
hexa409cb4

172006580 has 24 divisors (see below), whose sum is σ = 367137960. Its totient is φ = 67674240.

The previous prime is 172006577. The next prime is 172006589. The reversal of 172006580 is 85600271.

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 171976996 = 172^2 + 13114^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172006589) 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 7 ways as a sum of consecutive naturals, for example, 69275 + ... + 71714.

It is an arithmetic number, because the mean of its divisors is an integer number (15297415).

Almost surely, 2172006580 is an apocalyptic number.

172006580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172006580 is an abundant number, since it is smaller than the sum of its proper divisors (195131380).

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

172006580 is a wasteful number, since it uses less digits than its factorization.

172006580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141059 (or 141057 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 172006580 is about 13115.1279063530. The cubic root of 172006580 is about 556.1368682941.

The spelling of 172006580 in words is "one hundred seventy-two million, six thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 140989 281978 563956 704945 1409890 2819780 8600329 17200658 34401316 43001645 86003290 172006580