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690480 = 243257137
BaseRepresentation
bin10101000100100110000
31022002011100
42220210300
5134043410
622444400
75604030
oct2504460
91262140
10690480
1143184a
12293700
131b238b
1413d8c0
15d98c0
hexa8930

690480 has 120 divisors (see below), whose sum is σ = 2669472. Its totient is φ = 156672.

The previous prime is 690467. The next prime is 690491. The reversal of 690480 is 84096.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 6.

It is an unprimeable number.

690480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4972 + ... + 5108.

2690480 is an apocalyptic number.

690480 is a gapful number since it is divisible by the number (60) 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 690480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334736).

690480 is an abundant number, since it is smaller than the sum of its proper divisors (1978992).

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

690480 is a wasteful number, since it uses less digits than its factorization.

690480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 690480 is about 830.9512621087. The cubic root of 690480 is about 88.3860450389.

The spelling of 690480 in words is "six hundred ninety thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 137 140 144 168 180 210 240 252 274 280 315 336 360 411 420 504 548 560 630 685 720 822 840 959 1008 1096 1233 1260 1370 1644 1680 1918 2055 2192 2466 2520 2740 2877 3288 3836 4110 4795 4932 5040 5480 5754 6165 6576 7672 8220 8631 9590 9864 10960 11508 12330 14385 15344 16440 17262 19180 19728 23016 24660 28770 32880 34524 38360 43155 46032 49320 57540 69048 76720 86310 98640 115080 138096 172620 230160 345240 690480