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1459134220 = 225377327011
BaseRepresentation
bin101011011111000…
…1001111100001100
310202200121200212011
41112332021330030
510442014243340
6400442151004
751105302425
oct12676117414
93680550764
101459134220
11689709155
123487b2464
131a33b463b
14dbb0664c
15881760ea
hex56f89f0c

1459134220 has 48 divisors (see below), whose sum is σ = 3190225248. Its totient is φ = 560079360.

The previous prime is 1459134211. The next prime is 1459134247. The reversal of 1459134220 is 224319541.

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, 40515 + ... + 67525.

It is an arithmetic number, because the mean of its divisors is an integer number (66463026).

Almost surely, 21459134220 is an apocalyptic number.

1459134220 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 1459134220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595112624).

1459134220 is an abundant number, since it is smaller than the sum of its proper divisors (1731091028).

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

1459134220 is a wasteful number, since it uses less digits than its factorization.

1459134220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27130 (or 27128 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1459134220 is about 38198.6154199337. The cubic root of 1459134220 is about 1134.2229073031. Note that the first 3 decimals are identical.

The spelling of 1459134220 in words is "one billion, four hundred fifty-nine million, one hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 73 74 146 148 185 292 365 370 730 740 1460 2701 5402 10804 13505 27010 27011 54020 54022 108044 135055 270110 540220 999407 1971803 1998814 3943606 3997628 4997035 7887212 9859015 9994070 19718030 19988140 39436060 72956711 145913422 291826844 364783555 729567110 1459134220