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1306454420 = 2251722317231
BaseRepresentation
bin100110111011110…
…1110100110010100
310101001022202112202
41031313232212110
510133423020140
6333345504032
744242452005
oct11567564624
93331282482
101306454420
116105065a7
12305642018
1317a887a6b
14c57211ac
1579a67915
hex4ddee994

1306454420 has 48 divisors (see below), whose sum is σ = 2918135808. Its totient is φ = 489607680.

The previous prime is 1306454417. The next prime is 1306454431. The reversal of 1306454420 is 244546031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67205 + ... + 84435.

It is an arithmetic number, because the mean of its divisors is an integer number (60794496).

Almost surely, 21306454420 is an apocalyptic number.

1306454420 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 1306454420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459067904).

1306454420 is an abundant number, since it is smaller than the sum of its proper divisors (1611681388).

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

1306454420 is a wasteful number, since it uses less digits than its factorization.

1306454420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17480 (or 17478 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 1306454420 is about 36144.9086317838. The cubic root of 1306454420 is about 1093.1961348349.

The spelling of 1306454420 in words is "one billion, three hundred six million, four hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 223 340 446 892 1115 2230 3791 4460 7582 15164 17231 18955 34462 37910 68924 75820 86155 172310 292927 344620 585854 1171708 1464635 2929270 3842513 5858540 7685026 15370052 19212565 38425130 65322721 76850260 130645442 261290884 326613605 653227210 1306454420