Search a number
-
+
81482160 = 2435467727
BaseRepresentation
bin1001101101101…
…01000110110000
312200022201111210
410312311012300
5131324412120
612030240120
72006405214
oct466650660
9180281453
1081482160
1141aa3831
1223356040
1313b5bbc6
14ab70944
157247ce0
hex4db51b0

81482160 has 80 divisors (see below), whose sum is σ = 253483776. Its totient is φ = 21652224.

The previous prime is 81482143. The next prime is 81482171. The reversal of 81482160 is 6128418.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111717 + ... + 112443.

Almost surely, 281482160 is an apocalyptic number.

81482160 is a gapful number since it is divisible by the number (80) 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 81482160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126741888).

81482160 is an abundant number, since it is smaller than the sum of its proper divisors (172001616).

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

81482160 is a wasteful number, since it uses less digits than its factorization.

81482160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 81482160 is about 9026.7469223414. The cubic root of 81482160 is about 433.5316856560.

The spelling of 81482160 in words is "eighty-one million, four hundred eighty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 467 727 934 1401 1454 1868 2181 2335 2802 2908 3635 3736 4362 4670 5604 5816 7005 7270 7472 8724 9340 10905 11208 11632 14010 14540 17448 18680 21810 22416 28020 29080 34896 37360 43620 56040 58160 87240 112080 174480 339509 679018 1018527 1358036 1697545 2037054 2716072 3395090 4074108 5092635 5432144 6790180 8148216 10185270 13580360 16296432 20370540 27160720 40741080 81482160