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171055020 = 223517672503
BaseRepresentation
bin10100011001000…
…01011110101100
3102220212111101010
422030201132230
5322242230040
624550145220
74144641453
oct1214413654
9386774333
10171055020
1188613194
1249352210
13295915b6
1418a09b9a
151003ce80
hexa3217ac

171055020 has 96 divisors (see below), whose sum is σ = 514902528. Its totient is φ = 42273792.

The previous prime is 171055019. The next prime is 171055051. The reversal of 171055020 is 20550171.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 67089 + ... + 69591.

It is an arithmetic number, because the mean of its divisors is an integer number (5363568).

Almost surely, 2171055020 is an apocalyptic number.

171055020 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 171055020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257451264).

171055020 is an abundant number, since it is smaller than the sum of its proper divisors (343847508).

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

171055020 is a wasteful number, since it uses less digits than its factorization.

171055020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 171055020 is about 13078.8004037068. The cubic root of 171055020 is about 555.1094338220.

The spelling of 171055020 in words is "one hundred seventy-one million, fifty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 67 68 85 102 134 170 201 204 255 268 335 340 402 510 670 804 1005 1020 1139 1340 2010 2278 2503 3417 4020 4556 5006 5695 6834 7509 10012 11390 12515 13668 15018 17085 22780 25030 30036 34170 37545 42551 50060 68340 75090 85102 127653 150180 167701 170204 212755 255306 335402 425510 503103 510612 638265 670804 838505 851020 1006206 1276530 1677010 2012412 2515515 2553060 2850917 3354020 5031030 5701834 8552751 10062060 11403668 14254585 17105502 28509170 34211004 42763755 57018340 85527510 171055020