Search a number
-
+
81201240 = 233252111069
BaseRepresentation
bin1001101011100…
…00100001011000
312122210110011100
410311300201120
5131241414430
612020231400
72004125211
oct465604130
9178713140
1081201240
114192176a
122323b560
1313a91093
14aada408
1571de960
hex4d70858

81201240 has 96 divisors (see below), whose sum is σ = 265402800. Its totient is φ = 21530880.

The previous prime is 81201229. The next prime is 81201257. The reversal of 81201240 is 4210218.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75426 + ... + 76494.

Almost surely, 281201240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81201240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132701400).

81201240 is an abundant number, since it is smaller than the sum of its proper divisors (184201560).

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

81201240 is a wasteful number, since it uses less digits than its factorization.

81201240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 81201240 is about 9011.1730645904. The cubic root of 81201240 is about 433.0328936532.

Adding to 81201240 its reverse (4210218), we get a palindrome (85411458).

The spelling of 81201240 in words is "eighty-one million, two hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 211 360 422 633 844 1055 1069 1266 1688 1899 2110 2138 2532 3165 3207 3798 4220 4276 5064 5345 6330 6414 7596 8440 8552 9495 9621 10690 12660 12828 15192 16035 18990 19242 21380 25320 25656 32070 37980 38484 42760 48105 64140 75960 76968 96210 128280 192420 225559 384840 451118 676677 902236 1127795 1353354 1804472 2030031 2255590 2706708 3383385 4060062 4511180 5413416 6766770 8120124 9022360 10150155 13533540 16240248 20300310 27067080 40600620 81201240