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173428128 = 253522303
BaseRepresentation
bin10100101011001…
…00110110100000
3110002100001200000
422111210312200
5323344200003
625113100000
74204054236
oct1225446640
9402301600
10173428128
1189994135
124a0b7600
1329c127c3
1419066956
151035b1a3
hexa564da0

173428128 has 72 divisors (see below), whose sum is σ = 511475328. Its totient is φ = 57806784.

The previous prime is 173428109. The next prime is 173428141. The reversal of 173428128 is 821824371.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 173428092 and 173428101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3376 + ... + 18927.

It is an arithmetic number, because the mean of its divisors is an integer number (7103824).

Almost surely, 2173428128 is an apocalyptic number.

173428128 is a gapful number since it is divisible by the number (18) 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 173428128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255737664).

173428128 is an abundant number, since it is smaller than the sum of its proper divisors (338047200).

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

173428128 is an equidigital number, since it uses as much as digits as its factorization.

173428128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22328 (or 22308 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 173428128 is about 13169.2113659095. The cubic root of 173428128 is about 557.6647309592.

The spelling of 173428128 in words is "one hundred seventy-three million, four hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 22303 44606 66909 89212 133818 178424 200727 267636 356848 401454 535272 602181 713696 802908 1070544 1204362 1605816 1806543 2141088 2408724 3211632 3613086 4817448 5419629 6423264 7226172 9634896 10839258 14452344 19269792 21678516 28904688 43357032 57809376 86714064 173428128