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1530014024 = 237211232257
BaseRepresentation
bin101101100110010…
…0010100101001000
310221121222202200002
41123030202211020
511113140422044
6411453302132
752625622200
oct13314424510
93847882602
101530014024
11715720200
12368494948
131b4ca0756
141072b7400
158e4c774e
hex5b322948

1530014024 has 72 divisors (see below), whose sum is σ = 3668218470. Its totient is φ = 596090880.

The previous prime is 1530014023. The next prime is 1530014029. The reversal of 1530014024 is 4204100351.

It can be written as a sum of positive squares in only one way, i.e., 1423552900 + 106461124 = 37730^2 + 10318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1530013987 and 1530014005.

It is not an unprimeable number, because it can be changed into a prime (1530014023) 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 17 ways as a sum of consecutive naturals, for example, 31304 + ... + 63560.

Almost surely, 21530014024 is an apocalyptic number.

1530014024 is a gapful number since it is divisible by the number (14) 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 1530014024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834109235).

1530014024 is an abundant number, since it is smaller than the sum of its proper divisors (2138204446).

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

1530014024 is a wasteful number, since it uses less digits than its factorization.

1530014024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32299 (or 32277 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1530014024 is about 39115.3936960885. The cubic root of 1530014024 is about 1152.2988731518.

Adding to 1530014024 its reverse (4204100351), we get a palindrome (5734114375).

The spelling of 1530014024 in words is "one billion, five hundred thirty million, fourteen thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 484 539 616 847 968 1078 1694 2156 3388 4312 5929 6776 11858 23716 32257 47432 64514 129028 225799 258056 354827 451598 709654 903196 1419308 1580593 1806392 2483789 2838616 3161186 3903097 4967578 6322372 7806194 9935156 12644744 15612388 17386523 19870312 27321679 31224776 34773046 54643358 69546092 109286716 139092184 191251753 218573432 382503506 765007012 1530014024