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1415012480 = 2757315851
BaseRepresentation
bin101010001010111…
…0110000010000000
310122121121002012122
41110111312002000
510344220344410
6352224343412
750031256550
oct12425660200
93577532178
101415012480
11666812902
12335a74b68
131972069bb
14d5cdd160
158435ce55
hex54576080

1415012480 has 64 divisors (see below), whose sum is σ = 3866028480. Its totient is φ = 485145600.

The previous prime is 1415012419. The next prime is 1415012483. The reversal of 1415012480 is 842105141.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1415012483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153446 + ... + 162405.

It is an arithmetic number, because the mean of its divisors is an integer number (60406695).

Almost surely, 21415012480 is an apocalyptic number.

1415012480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1415012480 is an abundant number, since it is smaller than the sum of its proper divisors (2451016000).

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

1415012480 is an equidigital number, since it uses as much as digits as its factorization.

1415012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315877 (or 315865 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 1415012480 is about 37616.6516319568. The cubic root of 1415012480 is about 1122.6733756336.

The spelling of 1415012480 in words is "one billion, four hundred fifteen million, twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 315851 631702 1263404 1579255 2210957 2526808 3158510 4421914 5053616 6317020 8843828 10107232 11054785 12634040 17687656 20214464 22109570 25268080 35375312 40428928 44219140 50536160 70750624 88438280 101072320 141501248 176876560 202144640 283002496 353753120 707506240 1415012480