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420174 = 23331251
BaseRepresentation
bin1100110100101001110
3210100101000
41212211032
5101421144
613001130
73366666
oct1464516
9710330
10420174
11267757
121831a6
13119331
14ad1a6
1584769
hex6694e

420174 has 32 divisors (see below), whose sum is σ = 967680. Its totient is φ = 135000.

The previous prime is 420163. The next prime is 420191. The reversal of 420174 is 471024.

It is a happy number.

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

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420174.

It is an unprimeable number.

420174 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 15 ways as a sum of consecutive naturals, for example, 1549 + ... + 1799.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2420174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

420174 is an abundant number, since it is smaller than the sum of its proper divisors (547506).

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

420174 is a wasteful number, since it uses less digits than its factorization.

420174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

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

The square root of 420174 is about 648.2082998543. The cubic root of 420174 is about 74.8990642205.

Adding to 420174 its reverse (471024), we get a palindrome (891198).

The spelling of 420174 in words is "four hundred twenty thousand, one hundred seventy-four", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 251 279 502 558 753 837 1506 1674 2259 4518 6777 7781 13554 15562 23343 46686 70029 140058 210087 420174