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174420 = 223351719
BaseRepresentation
bin101010100101010100
322212021000
4222211110
521040140
63423300
71324341
oct524524
9285230
10174420
1110a054
1284b30
136150c
14477c8
1536a30
hex2a954

174420 has 96 divisors (see below), whose sum is σ = 604800. Its totient is φ = 41472.

The previous prime is 174413. The next prime is 174431. The reversal of 174420 is 24471.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 174393 and 174402.

It is a congruent number.

It is an unprimeable number.

174420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9171 + ... + 9189.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2174420 is an apocalyptic number.

174420 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 174420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

174420 is an abundant number, since it is smaller than the sum of its proper divisors (430380).

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

174420 is a wasteful number, since it uses less digits than its factorization.

174420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 174420 is about 417.6362053271. The cubic root of 174420 is about 55.8725844638.

Adding to 174420 its reverse (24471), we get a palindrome (198891).

It can be divided in two parts, 1744 and 20, that added together give a square (1764 = 422).

The spelling of 174420 in words is "one hundred seventy-four thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 27 30 34 36 38 45 51 54 57 60 68 76 85 90 95 102 108 114 135 153 170 171 180 190 204 228 255 270 285 306 323 340 342 380 459 510 513 540 570 612 646 684 765 855 918 969 1020 1026 1140 1292 1530 1615 1710 1836 1938 2052 2295 2565 2907 3060 3230 3420 3876 4590 4845 5130 5814 6460 8721 9180 9690 10260 11628 14535 17442 19380 29070 34884 43605 58140 87210 174420