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1535013140 = 2254313912841
BaseRepresentation
bin101101101111110…
…0111000100010100
310221222101202011112
41123133213010110
511120430410030
6412152354152
753016252653
oct13337470424
93858352145
101535013140
11718525101
1236a0a5958
131b6030ccb
14107c1919a
158eb63a95
hex5b7e7114

1535013140 has 48 divisors (see below), whose sum is σ = 3322482240. Its totient is φ = 595365120.

The previous prime is 1535013133. The next prime is 1535013197. The reversal of 1535013140 is 413105351.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 113120 + ... + 125960.

It is an arithmetic number, because the mean of its divisors is an integer number (69218380).

Almost surely, 21535013140 is an apocalyptic number.

1535013140 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 1535013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661241120).

1535013140 is an abundant number, since it is smaller than the sum of its proper divisors (1787469100).

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

1535013140 is a wasteful number, since it uses less digits than its factorization.

1535013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13032 (or 13030 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1535013140 is about 39179.2437395108. The cubic root of 1535013140 is about 1153.5525028889.

Adding to 1535013140 its reverse (413105351), we get a palindrome (1948118491).

The spelling of 1535013140 in words is "one billion, five hundred thirty-five million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 139 172 215 278 430 556 695 860 1390 2780 5977 11954 12841 23908 25682 29885 51364 59770 64205 119540 128410 256820 552163 1104326 1784899 2208652 2760815 3569798 5521630 7139596 8924495 11043260 17848990 35697980 76750657 153501314 307002628 383753285 767506570 1535013140