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1306877472 = 25324537769
BaseRepresentation
bin100110111100101…
…0101111000100000
310101002010020212100
41031321111320200
510134030034342
6333402530400
744246163255
oct11571257040
93332106770
101306877472
1161077542a
12305806a00
1317a9a54a4
14c57d142c
1579aece4c
hex4de55e20

1306877472 has 36 divisors (see below), whose sum is σ = 3716433630. Its totient is φ = 435625728.

The previous prime is 1306877461. The next prime is 1306877479. The reversal of 1306877472 is 2747786031.

It can be written as a sum of positive squares in only one way, i.e., 1302055056 + 4822416 = 36084^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13068774722 = 3415857453642221568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1306877479) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2268597 + ... + 2269172.

Almost surely, 21306877472 is an apocalyptic number.

1306877472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1306877472 is an abundant number, since it is smaller than the sum of its proper divisors (2409556158).

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

1306877472 is a wasteful number, since it uses less digits than its factorization.

1306877472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4537785 (or 4537774 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 1306877472 is about 36150.7603239545. The cubic root of 1306877472 is about 1093.3141205560.

The spelling of 1306877472 in words is "one billion, three hundred six million, eight hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4537769 9075538 13613307 18151076 27226614 36302152 40839921 54453228 72604304 81679842 108906456 145208608 163359684 217812912 326719368 435625824 653438736 1306877472