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435420 = 223254159
BaseRepresentation
bin1101010010011011100
3211010021200
41222103130
5102413140
613155500
73462306
oct1522334
9733250
10435420
11278157
1218bb90
1312325b
14b4976
1589030
hex6a4dc

435420 has 72 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 111360.

The previous prime is 435419. The next prime is 435427. The reversal of 435420 is 24534.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 435393 and 435402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (435427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7351 + ... + 7409.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2435420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 435420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

435420 is an abundant number, since it is smaller than the sum of its proper divisors (940500).

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

435420 is a wasteful number, since it uses less digits than its factorization.

435420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 435420 is about 659.8636222736. The cubic root of 435420 is about 75.7942263711.

Adding to 435420 its reverse (24534), we get a palindrome (459954).

The spelling of 435420 in words is "four hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 59 60 82 90 118 123 164 177 180 205 236 246 295 354 369 410 492 531 590 615 708 738 820 885 1062 1180 1230 1476 1770 1845 2124 2419 2460 2655 3540 3690 4838 5310 7257 7380 9676 10620 12095 14514 21771 24190 29028 36285 43542 48380 72570 87084 108855 145140 217710 435420