Search a number
-
+
81473120 = 2553371511
BaseRepresentation
bin1001101101100…
…10111001100000
312200022021002222
410312302321200
5131324114440
612030130212
72006336651
oct466627140
9180267088
1081473120
1141a97a63
1223350968
1313b57a61
14ab6b528
1572452b5
hex4db2e60

81473120 has 48 divisors (see below), whose sum is σ = 193179168. Its totient is φ = 32471040.

The previous prime is 81473111. The next prime is 81473131. The reversal of 81473120 is 2137418.

It is a self number, because there is not a number n which added to its sum of digits gives 81473120.

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 7 ways as a sum of consecutive naturals, for example, 53165 + ... + 54675.

It is an arithmetic number, because the mean of its divisors is an integer number (4024566).

Almost surely, 281473120 is an apocalyptic number.

81473120 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 81473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96589584).

81473120 is an abundant number, since it is smaller than the sum of its proper divisors (111706048).

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

81473120 is a wasteful number, since it uses less digits than its factorization.

81473120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 81473120 is about 9026.2461743518. The cubic root of 81473120 is about 433.5156524066.

The spelling of 81473120 in words is "eighty-one million, four hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 337 674 1348 1511 1685 2696 3022 3370 5392 6044 6740 7555 10784 12088 13480 15110 24176 26960 30220 48352 53920 60440 120880 241760 509207 1018414 2036828 2546035 4073656 5092070 8147312 10184140 16294624 20368280 40736560 81473120