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499680 = 25325347
BaseRepresentation
bin1111001111111100000
3221101102200
41321333200
5111442210
614413200
74150536
oct1717740
9841380
10499680
11311465
12201200
1314658c
14d0156
159d0c0
hex79fe0

499680 has 72 divisors (see below), whose sum is σ = 1710072. Its totient is φ = 132864.

The previous prime is 499679. The next prime is 499687. The reversal of 499680 is 86994.

499680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1267 + ... + 1613.

It is an arithmetic number, because the mean of its divisors is an integer number (23751).

499680 is a Friedman number, since it can be written as 6940*9*8, using all its digits and the basic arithmetic operations.

2499680 is an apocalyptic number.

499680 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 499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855036).

499680 is an abundant number, since it is smaller than the sum of its proper divisors (1210392).

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

499680 is a wasteful number, since it uses less digits than its factorization.

499680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 499680 is about 706.8804708011. The cubic root of 499680 is about 79.3531167070.

Subtracting from 499680 its reverse (86994), we obtain a triangular number (412686 = T908).

The spelling of 499680 in words is "four hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 347 360 480 694 720 1041 1388 1440 1735 2082 2776 3123 3470 4164 5205 5552 6246 6940 8328 10410 11104 12492 13880 15615 16656 20820 24984 27760 31230 33312 41640 49968 55520 62460 83280 99936 124920 166560 249840 499680