Search a number
-
+
325021140 = 223352712221
BaseRepresentation
bin10011010111110…
…110110111010100
3211122120210012000
4103113312313110
51131201134030
652130155300
711024430333
oct2327666724
9748523160
10325021140
11157514214
1290a22b30
135244b802
1431247d1a
151d802860
hex135f6dd4

325021140 has 96 divisors (see below), whose sum is σ = 1015365120. Its totient is φ = 86313600.

The previous prime is 325021127. The next prime is 325021141. The reversal of 325021140 is 41120523.

325021140 is digitally balanced in base 3 and base 9, because in such bases 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 (18).

325021140 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325021141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145230 + ... + 147450.

It is an arithmetic number, because the mean of its divisors is an integer number (10576720).

Almost surely, 2325021140 is an apocalyptic number.

325021140 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 325021140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507682560).

325021140 is an abundant number, since it is smaller than the sum of its proper divisors (690343980).

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

325021140 is a wasteful number, since it uses less digits than its factorization.

325021140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 325021140 is about 18028.3426858932. The cubic root of 325021140 is about 687.5493403707.

Adding to 325021140 its reverse (41120523), we get a palindrome (366141663).

The spelling of 325021140 in words is "three hundred twenty-five million, twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 271 540 542 813 1084 1355 1626 2221 2439 2710 3252 4065 4442 4878 5420 6663 7317 8130 8884 9756 11105 12195 13326 14634 16260 19989 22210 24390 26652 29268 33315 36585 39978 44420 48780 59967 66630 73170 79956 99945 119934 133260 146340 199890 239868 299835 399780 599670 601891 1199340 1203782 1805673 2407564 3009455 3611346 5417019 6018910 7222692 9028365 10834038 12037820 16251057 18056730 21668076 27085095 32502114 36113460 54170190 65004228 81255285 108340380 162510570 325021140