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1540414224 = 243210697321
BaseRepresentation
bin101101111010000…
…1101101100010000
310222100120011001200
41123310031230100
511123321223344
6412504231200
753113206366
oct13364155420
93870504050
101540414224
11720584008
1236ba6b500
131b71a250b
14108823636
159037e069
hex5bd0db10

1540414224 has 30 divisors (see below), whose sum is σ = 4311020766. Its totient is φ = 513471360.

The previous prime is 1540414153. The next prime is 1540414231. The reversal of 1540414224 is 4224140451.

It can be written as a sum of positive squares in only one way, i.e., 1507924224 + 32490000 = 38832^2 + 5700^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5348517 + ... + 5348804.

Almost surely, 21540414224 is an apocalyptic number.

It is an amenable number.

1540414224 is an abundant number, since it is smaller than the sum of its proper divisors (2770606542).

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

1540414224 is a wasteful number, since it uses less digits than its factorization.

1540414224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10697335 (or 10697326 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 1540414224 is about 39248.1110883059. Note that the first 3 decimals coincide. The cubic root of 1540414224 is about 1154.9038791095.

Adding to 1540414224 its reverse (4224140451), we get a palindrome (5764554675).

The spelling of 1540414224 in words is "one billion, five hundred forty million, four hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 10697321 21394642 32091963 42789284 64183926 85578568 96275889 128367852 171157136 192551778 256735704 385103556 513471408 770207112 1540414224