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325680 = 24352359
BaseRepresentation
bin1001111100000110000
3121112202020
41033200300
540410210
610551440
72524335
oct1174060
9545666
10325680
11202763
12138580
13b5314
148698c
1566770
hex4f830

325680 has 80 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 81664.

The previous prime is 325673. The next prime is 325681. The reversal of 325680 is 86523.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 325680.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 325680.

It is not an unprimeable number, because it can be changed into a prime (325681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5491 + ... + 5549.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2325680 is an apocalyptic number.

325680 is a gapful number since it is divisible by the number (30) 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 325680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

325680 is an abundant number, since it is smaller than the sum of its proper divisors (745680).

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

325680 is a wasteful number, since it uses less digits than its factorization.

325680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 325680 is about 570.6838003658. The cubic root of 325680 is about 68.8013610692.

The spelling of 325680 in words is "three hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 59 60 69 80 92 115 118 120 138 177 184 230 236 240 276 295 345 354 368 460 472 552 590 690 708 885 920 944 1104 1180 1357 1380 1416 1770 1840 2360 2714 2760 2832 3540 4071 4720 5428 5520 6785 7080 8142 10856 13570 14160 16284 20355 21712 27140 32568 40710 54280 65136 81420 108560 162840 325680