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1540242030 = 2351912721277
BaseRepresentation
bin101101111001110…
…0011101001101110
310222100020101212010
41123303203221232
511123300221110
6412500422050
753111561355
oct13363435156
93870211763
101540242030
117204766a8
1236b9a7926
131b7142022
141087ba99c
1590348020
hex5bce3a6e

1540242030 has 64 divisors (see below), whose sum is σ = 3921960960. Its totient is φ = 386031744.

The previous prime is 1540242019. The next prime is 1540242047. The reversal of 1540242030 is 302420451.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1540241988 and 1540242006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61752 + ... + 83028.

It is an arithmetic number, because the mean of its divisors is an integer number (61280640).

Almost surely, 21540242030 is an apocalyptic number.

1540242030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540242030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960980480).

1540242030 is an abundant number, since it is smaller than the sum of its proper divisors (2381718930).

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

1540242030 is a wasteful number, since it uses less digits than its factorization.

1540242030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21433.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1540242030 is about 39245.9173672880. The cubic root of 1540242030 is about 1154.8608441634.

Adding to 1540242030 its reverse (302420451), we get a palindrome (1842662481).

The spelling of 1540242030 in words is "one billion, five hundred forty million, two hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 127 190 254 285 381 570 635 762 1270 1905 2413 3810 4826 7239 12065 14478 21277 24130 36195 42554 63831 72390 106385 127662 212770 319155 404263 638310 808526 1212789 2021315 2425578 2702179 4042630 5404358 6063945 8106537 12127890 13510895 16213074 27021790 40532685 51341401 81065370 102682802 154024203 256707005 308048406 513414010 770121015 1540242030