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5460066000 = 243253303337
BaseRepresentation
bin1010001010111000…
…11111111011010000
3112002112002002110200
411011130133323100
542140234103000
62301444055200
7252206536524
oct50534377320
915075062420
105460066000
112352079444
121084694500
136902711ac
1439b21dd84
1521e532500
hex14571fed0

5460066000 has 120 divisors (see below), whose sum is σ = 19070253384. Its totient is φ = 1456012800.

The previous prime is 5460065993. The next prime is 5460066049. The reversal of 5460066000 is 6600645.

5460066000 is a `hidden beast` number, since 54 + 6 + 0 + 0 + 6 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54287424 + 5405778576 = 7368^2 + 73524^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133669 + ... + 169668.

Almost surely, 25460066000 is an apocalyptic number.

5460066000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5460066000 is an abundant number, since it is smaller than the sum of its proper divisors (13610187384).

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

5460066000 is a wasteful number, since it uses less digits than its factorization.

5460066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303366 (or 303347 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5460066000 is about 73892.2594051637. The cubic root of 5460066000 is about 1760.8916367087.

Adding to 5460066000 its reverse (6600645), we get a palindrome (5466666645).

The spelling of 5460066000 in words is "five billion, four hundred sixty million, sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 303337 606674 910011 1213348 1516685 1820022 2426696 2730033 3033370 3640044 4550055 4853392 5460066 6066740 7280088 7583425 9100110 10920132 12133480 13650165 14560176 15166850 18200220 21840264 22750275 24266960 27300330 30333700 36400440 37917125 43680528 45500550 54600660 60667400 68250825 72800880 75834250 91001100 109201320 113751375 121334800 136501650 151668500 182002200 218402640 227502750 273003300 303337000 341254125 364004400 455005500 546006600 606674000 682508250 910011000 1092013200 1365016500 1820022000 2730033000 5460066000