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540031104 = 2733156259
BaseRepresentation
bin100000001100000…
…011100010000000
31101122011102102000
4200030003202000
52101221443404
6125330424000
716245121464
oct4014034200
91348142360
10540031104
112579193a8
12130a32000
1387b5cb42
1451a164a4
1532624339
hex20303880

540031104 has 64 divisors (see below), whose sum is σ = 1593852000. Its totient is φ = 180009216.

The previous prime is 540031103. The next prime is 540031159. The reversal of 540031104 is 401130045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (540031103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74674 + ... + 81585.

Almost surely, 2540031104 is an apocalyptic number.

540031104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

540031104 is an abundant number, since it is smaller than the sum of its proper divisors (1053820896).

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

540031104 is a wasteful number, since it uses less digits than its factorization.

540031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156282 (or 156264 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 540031104 is about 23238.5693191298. The cubic root of 540031104 is about 814.3409197238.

Adding to 540031104 its reverse (401130045), we get a palindrome (941161149).

It can be divided in two parts, 5400 and 31104, that multiplied together give a square (167961600 = 129602).

The spelling of 540031104 in words is "five hundred forty million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 156259 312518 468777 625036 937554 1250072 1406331 1875108 2500144 2812662 3750216 4218993 5000288 5625324 7500432 8437986 10000576 11250648 15000864 16875972 20001152 22501296 30001728 33751944 45002592 60003456 67503888 90005184 135007776 180010368 270015552 540031104