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1540145424 = 243374631873
BaseRepresentation
bin101101111001100…
…1100000100010000
310222100001111100010
41123303030010100
511123234123144
6412454354520
753111006616
oct13363140420
93870044303
101540145424
11720410064
1236b95ba40
131b710a06c
141087936b6
15903295b9
hex5bccc110

1540145424 has 80 divisors (see below), whose sum is σ = 4097253632. Its totient is φ = 498161664.

The previous prime is 1540145423. The next prime is 1540145429. The reversal of 1540145424 is 4245410451.

It is a junction number, because it is equal to n+sod(n) for n = 1540145391 and 1540145400.

It is not an unprimeable number, because it can be changed into a prime (1540145423) 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 15 ways as a sum of consecutive naturals, for example, 821352 + ... + 823224.

Almost surely, 21540145424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540145424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048626816).

1540145424 is an abundant number, since it is smaller than the sum of its proper divisors (2557108208).

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

1540145424 is a wasteful number, since it uses less digits than its factorization.

1540145424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 1540145424 is about 39244.6865702862. The cubic root of 1540145424 is about 1154.8366988630.

Adding to 1540145424 its reverse (4245410451), we get a palindrome (5785555875).

The spelling of 1540145424 in words is "one billion, five hundred forty million, one hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 463 592 888 926 1389 1776 1852 1873 2778 3704 3746 5556 5619 7408 7492 11112 11238 14984 17131 22224 22476 29968 34262 44952 51393 68524 69301 89904 102786 137048 138602 205572 207903 274096 277204 411144 415806 554408 822288 831612 867199 1108816 1663224 1734398 2601597 3326448 3468796 5203194 6937592 10406388 13875184 20812776 32086363 41625552 64172726 96259089 128345452 192518178 256690904 385036356 513381808 770072712 1540145424