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429420 = 223517421
BaseRepresentation
bin1101000110101101100
3210211001110
41220311230
5102220140
613112020
73435645
oct1506554
9724043
10429420
112736a2
12188610
131205c4
14b26cc
1587380
hex68d6c

429420 has 48 divisors (see below), whose sum is σ = 1276128. Its totient is φ = 107520.

The previous prime is 429413. The next prime is 429427. The reversal of 429420 is 24924.

It is an interprime number because it is at equal distance from previous prime (429413) and next prime (429427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429427) by changing a digit.

429420 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, 810 + ... + 1230.

It is an arithmetic number, because the mean of its divisors is an integer number (26586).

2429420 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 429420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638064).

429420 is an abundant number, since it is smaller than the sum of its proper divisors (846708).

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

429420 is a wasteful number, since it uses less digits than its factorization.

429420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 429420 is about 655.3014573462. The cubic root of 429420 is about 75.4444718382. Note that the first 4 decimals are identical.

Subtracting from 429420 its reverse (24924), we obtain a square (404496 = 6362).

The spelling of 429420 in words is "four hundred twenty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 421 510 842 1020 1263 1684 2105 2526 4210 5052 6315 7157 8420 12630 14314 21471 25260 28628 35785 42942 71570 85884 107355 143140 214710 429420