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497420 = 2257111719
BaseRepresentation
bin1111001011100001100
3221021022222
41321130030
5111404140
614354512
74141130
oct1713414
9837288
10497420
1130a7a0
121bba38
13145541
14cd3c0
159c5b5
hex7970c

497420 has 96 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 138240.

The previous prime is 497417. The next prime is 497423. The reversal of 497420 is 24794.

497420 = T11 + T12 + ... + T143.

497420 is nontrivially palindromic in base 13.

497420 is a nontrivial binomial coefficient, being equal to C(22, 9).

It is an interprime number because it is at equal distance from previous prime (497417) and next prime (497423).

It is a self number, because there is not a number n which added to its sum of digits gives 497420.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 497420.

It is not an unprimeable number, because it can be changed into a prime (497423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26171 + ... + 26189.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2497420 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 497420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

497420 is an abundant number, since it is smaller than the sum of its proper divisors (954100).

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

497420 is a wasteful number, since it uses less digits than its factorization.

497420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 497420 is about 705.2800862069. The cubic root of 497420 is about 79.2333006241.

It can be divided in two parts, 4974 and 20, that added together give a palindrome (4994).

The spelling of 497420 in words is "four hundred ninety-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 17 19 20 22 28 34 35 38 44 55 68 70 76 77 85 95 110 119 133 140 154 170 187 190 209 220 238 266 308 323 340 374 380 385 418 476 532 595 646 665 748 770 836 935 1045 1190 1292 1309 1330 1463 1540 1615 1870 2090 2261 2380 2618 2660 2926 3230 3553 3740 4180 4522 5236 5852 6460 6545 7106 7315 9044 11305 13090 14212 14630 17765 22610 24871 26180 29260 35530 45220 49742 71060 99484 124355 248710 497420