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1460053140 = 2235713299221
BaseRepresentation
bin101011100000110…
…1010010010010100
310202202100101101020
41113001222102110
510442233200030
6400514001140
751116150460
oct12701522224
93682311336
101460053140
1168a186597
12348b761b0
131a3646990
14dbca54a0
15882a8510
hex5706a494

1460053140 has 192 divisors, whose sum is σ = 5205634560. Its totient is φ = 297400320.

The previous prime is 1460053129. The next prime is 1460053141. The reversal of 1460053140 is 413500641.

It is a self number, because there is not a number n which added to its sum of digits gives 1460053140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1460053141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153730 + ... + 162950.

It is an arithmetic number, because the mean of its divisors is an integer number (27112680).

Almost surely, 21460053140 is an apocalyptic number.

1460053140 is a gapful number since it is divisible by the number (10) 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 1460053140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602817280).

1460053140 is an abundant number, since it is smaller than the sum of its proper divisors (3745581420).

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

1460053140 is a wasteful number, since it uses less digits than its factorization.

1460053140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9282 (or 9280 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1460053140 is about 38210.6417114395. The cubic root of 1460053140 is about 1134.4609574612.

Adding to 1460053140 its reverse (413500641), we get a palindrome (1873553781).

The spelling of 1460053140 in words is "one billion, four hundred sixty million, fifty-three thousand, one hundred forty".