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1308252672 = 2932283909
BaseRepresentation
bin100110111111010…
…0101101000000000
310101011201010021200
41031332211220000
510134403041142
6333452221200
744263651506
oct11576455000
93334633250
101308252672
11611524661
1230616a800
1317b06740c
14c5a6c676
1579cc064c
hex4dfa5a00

1308252672 has 60 divisors (see below), whose sum is σ = 3775719090. Its totient is φ = 436082688.

The previous prime is 1308252667. The next prime is 1308252679. The reversal of 1308252672 is 2762528031.

It can be written as a sum of positive squares in only one way, i.e., 1251461376 + 56791296 = 35376^2 + 7536^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1308252679) 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, 137347 + ... + 146562.

Almost surely, 21308252672 is an apocalyptic number.

1308252672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1308252672 is an abundant number, since it is smaller than the sum of its proper divisors (2467466418).

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

1308252672 is an equidigital number, since it uses as much as digits as its factorization.

1308252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283933 (or 283914 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1308252672 is about 36169.7756697495. The cubic root of 1308252672 is about 1093.6974766963.

The spelling of 1308252672 in words is "one billion, three hundred eight million, two hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 283909 567818 851727 1135636 1703454 2271272 2555181 3406908 4542544 5110362 6813816 9085088 10220724 13627632 18170176 20441448 27255264 36340352 40882896 54510528 72680704 81765792 109021056 145361408 163531584 218042112 327063168 436084224 654126336 1308252672