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540041064 = 233157331433
BaseRepresentation
bin100000001100000…
…101111101101000
31101122011221001220
4200030011331220
52101222303224
6125330542040
716245162513
oct4014057550
91348157056
10540041064
11257925932
12130a37920
1387b64534
1451a19d7a
1532627279
hex20305f68

540041064 has 64 divisors (see below), whose sum is σ = 1365954240. Its totient is φ = 177914880.

The previous prime is 540041063. The next prime is 540041069. The reversal of 540041064 is 460140045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (540041063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1246992 + ... + 1247424.

It is an arithmetic number, because the mean of its divisors is an integer number (21343035).

Almost surely, 2540041064 is an apocalyptic number.

It is an amenable number.

540041064 is an abundant number, since it is smaller than the sum of its proper divisors (825913176).

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

540041064 is a wasteful number, since it uses less digits than its factorization.

540041064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 540041064 is about 23238.7836170485. The cubic root of 540041064 is about 814.3459260932.

It can be divided in two parts, 5400 and 41064, that added together give a palindrome (46464).

The spelling of 540041064 in words is "five hundred forty million, forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 157 314 331 433 471 628 662 866 942 993 1256 1299 1324 1732 1884 1986 2598 2648 3464 3768 3972 5196 7944 10392 51967 67981 103934 135962 143323 155901 203943 207868 271924 286646 311802 407886 415736 429969 543848 573292 623604 815772 859938 1146584 1247208 1631544 1719876 3439752 22501711 45003422 67505133 90006844 135010266 180013688 270020532 540041064