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498680 = 235713137
BaseRepresentation
bin1111001101111111000
3221100001122
41321233320
5111424210
614404412
74144610
oct1715770
9840048
10498680
11310736
12200708
13145ca0
14cda40
159cb55
hex79bf8

498680 has 64 divisors (see below), whose sum is σ = 1391040. Its totient is φ = 156672.

The previous prime is 498679. The next prime is 498689. The reversal of 498680 is 86894.

498680 = 362 + 372 + ... + 1152.

498680 is nontrivially palindromic in base 3 and base 9.

498680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 498680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3572 + ... + 3708.

It is an arithmetic number, because the mean of its divisors is an integer number (21735).

2498680 is an apocalyptic number.

498680 is a gapful number since it is divisible by the number (40) 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 498680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695520).

498680 is an abundant number, since it is smaller than the sum of its proper divisors (892360).

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

498680 is a wasteful number, since it uses less digits than its factorization.

498680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 498680 is about 706.1727833894. The cubic root of 498680 is about 79.3001453976.

The spelling of 498680 in words is "four hundred ninety-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 137 140 182 260 274 280 364 455 520 548 685 728 910 959 1096 1370 1781 1820 1918 2740 3562 3640 3836 4795 5480 7124 7672 8905 9590 12467 14248 17810 19180 24934 35620 38360 49868 62335 71240 99736 124670 249340 498680