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5460000100 = 2252433126097
BaseRepresentation
bin1010001010111000…
…01111110101100100
3112002111221202001221
411011130033311210
542140230000400
62301442430124
7252206143432
oct50534176544
915074852057
105460000100
112352033985
121084662344
1369024a1b9
1439b203d52
1521e51cc1a
hex14570fd64

5460000100 has 36 divisors (see below), whose sum is σ = 11875657444. Its totient is φ = 2178938880.

The previous prime is 5460000089. The next prime is 5460000131. The reversal of 5460000100 is 10000645.

It can be written as a sum of positive squares in 6 ways, for example, as 932325156 + 4527674944 = 30534^2 + 67288^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19749 + ... + 106348.

Almost surely, 25460000100 is an apocalyptic number.

5460000100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5460000100 is an abundant number, since it is smaller than the sum of its proper divisors (6415657344).

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

5460000100 is a wasteful number, since it uses less digits than its factorization.

5460000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126544 (or 126537 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5460000100 is about 73891.8134843096. The cubic root of 5460000100 is about 1760.8845523483.

Adding to 5460000100 its reverse (10000645), we get a palindrome (5470000745).

The spelling of 5460000100 in words is "five billion, four hundred sixty million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 433 866 1732 2165 4330 8660 10825 21650 43300 126097 252194 504388 630485 1260970 2521940 3152425 6304850 12609700 54600001 109200002 218400004 273000005 546000010 1092000020 1365000025 2730000050 5460000100