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673680 = 24357401
BaseRepresentation
bin10100100011110010000
31021020010010
42210132100
5133024210
622234520
75504040
oct2443620
91236103
10673680
11420167
12285a40
131a7837
14137720
15d4920
hexa4790

673680 has 80 divisors (see below), whose sum is σ = 2392704. Its totient is φ = 153600.

The previous prime is 673669. The next prime is 673747. The reversal of 673680 is 86376.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480 + ... + 1880.

2673680 is an apocalyptic number.

673680 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 673680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196352).

673680 is an abundant number, since it is smaller than the sum of its proper divisors (1719024).

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

673680 is a wasteful number, since it uses less digits than its factorization.

673680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 673680 is about 820.7801167182. The cubic root of 673680 is about 87.6633140411.

The spelling of 673680 in words is "six hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 401 420 560 802 840 1203 1604 1680 2005 2406 2807 3208 4010 4812 5614 6015 6416 8020 8421 9624 11228 12030 14035 16040 16842 19248 22456 24060 28070 32080 33684 42105 44912 48120 56140 67368 84210 96240 112280 134736 168420 224560 336840 673680