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4540605000 = 233542711117
BaseRepresentation
bin1000011101010010…
…00010001001001000
3102201102221122002120
410032221002021020
533244343330000
62030320531240
7220343335311
oct41651021110
912642848076
104540605000
111a20064818
12a68780b20
13574922829
14311079608
151b895e6a0
hex10ea42248

4540605000 has 160 divisors (see below), whose sum is σ = 14249938560. Its totient is φ = 1205280000.

The previous prime is 4540604969. The next prime is 4540605001. The reversal of 4540605000 is 5060454.

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 (4540605001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4064442 + ... + 4065558.

It is an arithmetic number, because the mean of its divisors is an integer number (89062116).

Almost surely, 24540605000 is an apocalyptic number.

4540605000 is a gapful number since it is divisible by the number (40) 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 4540605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124969280).

4540605000 is an abundant number, since it is smaller than the sum of its proper divisors (9709333560).

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

4540605000 is a wasteful number, since it uses less digits than its factorization.

4540605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 4540605000 is about 67384.0114567247. The cubic root of 4540605000 is about 1655.9144947566.

Adding to 4540605000 its reverse (5060454), we get a palindrome (4545665454).

The spelling of 4540605000 in words is "four billion, five hundred forty million, six hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 271 300 375 500 542 600 625 750 813 1000 1084 1117 1250 1355 1500 1626 1875 2168 2234 2500 2710 3000 3252 3351 3750 4065 4468 5000 5420 5585 6504 6702 6775 7500 8130 8936 10840 11170 13404 13550 15000 16260 16755 20325 22340 26808 27100 27925 32520 33510 33875 40650 44680 54200 55850 67020 67750 81300 83775 101625 111700 134040 135500 139625 162600 167550 169375 203250 223400 271000 279250 302707 335100 338750 406500 418875 508125 558500 605414 670200 677500 698125 813000 837750 908121 1016250 1117000 1210828 1355000 1396250 1513535 1675500 1816242 2032500 2094375 2421656 2792500 3027070 3351000 3632484 4065000 4188750 4540605 5585000 6054140 7264968 7567675 8377500 9081210 12108280 15135350 16755000 18162420 22703025 30270700 36324840 37838375 45406050 60541400 75676750 90812100 113515125 151353500 181624200 189191875 227030250 302707000 378383750 454060500 567575625 756767500 908121000 1135151250 1513535000 2270302500 4540605000