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1416414260 = 225137351581
BaseRepresentation
bin101010001101100…
…1100010000110100
310122201020022002102
41110123030100310
510400100224020
6352314401232
750046215432
oct12433142064
93581208072
101416414260
1166758aaa8
12336430218
131975a7a61
14d6185d52
1584538475
hex546cc434

1416414260 has 24 divisors (see below), whose sum is σ = 2976694056. Its totient is φ = 566142080.

The previous prime is 1416414257. The next prime is 1416414283. The reversal of 1416414260 is 624146141.

It can be written as a sum of positive squares in 4 ways, for example, as 125305636 + 1291108624 = 11194^2 + 35932^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1670 + ... + 53250.

It is an arithmetic number, because the mean of its divisors is an integer number (124028919).

Almost surely, 21416414260 is an apocalyptic number.

1416414260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1416414260 is an abundant number, since it is smaller than the sum of its proper divisors (1560279796).

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

1416414260 is a wasteful number, since it uses less digits than its factorization.

1416414260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52963 (or 52961 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1416414260 is about 37635.2794595709. The cubic root of 1416414260 is about 1123.0439781825.

The spelling of 1416414260 in words is "one billion, four hundred sixteen million, four hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 1373 2746 5492 6865 13730 27460 51581 103162 206324 257905 515810 1031620 70820713 141641426 283282852 354103565 708207130 1416414260