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918006140 = 225432115059
BaseRepresentation
bin110110101101111…
…010100101111100
32100222101112200102
4312231322211330
53340002144030
6231032020232
731514631512
oct6655724574
92328345612
10918006140
11431210667
12217531678
1311825c3cc
1489cc64b2
15558d6c45
hex36b7a97c

918006140 has 48 divisors (see below), whose sum is σ = 1982386560. Its totient is φ = 356892480.

The previous prime is 918006139. The next prime is 918006191. The reversal of 918006140 is 41600819.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178931 + ... + 183989.

It is an arithmetic number, because the mean of its divisors is an integer number (41299720).

Almost surely, 2918006140 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 918006140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991193280).

918006140 is an abundant number, since it is smaller than the sum of its proper divisors (1064380420).

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

918006140 is a wasteful number, since it uses less digits than its factorization.

918006140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 918006140 is about 30298.6161400154. The cubic root of 918006140 is about 971.8857071776.

Adding to 918006140 its reverse (41600819), we get a palindrome (959606959).

The spelling of 918006140 in words is "nine hundred eighteen million, six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 211 215 422 430 844 860 1055 2110 4220 5059 9073 10118 18146 20236 25295 36292 45365 50590 90730 101180 181460 217537 435074 870148 1067449 1087685 2134898 2175370 4269796 4350740 5337245 10674490 21348980 45900307 91800614 183601228 229501535 459003070 918006140