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540541998 = 23423239607
BaseRepresentation
bin100000001110000…
…000010000101110
31101200010101020000
4200032000100232
52101334320443
6125345405130
716252350123
oct4016002056
91350111200
10540541998
11258138227
121310397a6
1387cab549
1451b0a74a
15326c58d3
hex2038042e

540541998 has 80 divisors (see below), whose sum is σ = 1271255040. Its totient is φ = 171342864.

The previous prime is 540541993. The next prime is 540542003. The reversal of 540541998 is 899145045.

540541998 is a `hidden beast` number, since 540 + 5 + 4 + 19 + 98 = 666.

It is an interprime number because it is at equal distance from previous prime (540541993) and next prime (540542003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540541993) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 890211 + ... + 890817.

It is an arithmetic number, because the mean of its divisors is an integer number (15890688).

Almost surely, 2540541998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540541998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635627520).

540541998 is an abundant number, since it is smaller than the sum of its proper divisors (730713042).

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

540541998 is a wasteful number, since it uses less digits than its factorization.

540541998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 540541998 is about 23249.5590925936. The cubic root of 540541998 is about 814.5976399741.

The spelling of 540541998 in words is "five hundred forty million, five hundred forty-one thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 239 414 478 607 621 717 1214 1242 1434 1821 1863 2151 3642 3726 4302 5463 5497 6453 10926 10994 12906 13961 16389 16491 19359 27922 32778 32982 38718 41883 49167 49473 83766 98334 98946 125649 145073 148419 251298 290146 296838 376947 435219 445257 753894 870438 890514 1130841 1305657 2261682 2611314 3336679 3916971 6673358 7833942 10010037 11750913 20020074 23501826 30030111 60060222 90090333 180180666 270270999 540541998