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4056007320 = 2332553212579
BaseRepresentation
bin1111000111000001…
…1100001010011000
3101110200002112001100
43301300130022120
531301314213240
61510250151400
7202340331141
oct36160341230
911420075040
104056007320
1117a1568372
12952422560
134c8401241
142a6972ac8
1518b139e30
hexf1c1c298

4056007320 has 96 divisors (see below), whose sum is σ = 13430804400. Its totient is φ = 1061189376.

The previous prime is 4056007313. The next prime is 4056007327. The reversal of 4056007320 is 237006504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4056007313) and next prime (4056007327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056007327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87210 + ... + 125369.

Almost surely, 24056007320 is an apocalyptic number.

4056007320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4056007320 is an abundant number, since it is smaller than the sum of its proper divisors (9374797080).

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

4056007320 is a wasteful number, since it uses less digits than its factorization.

4056007320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212649 (or 212642 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4056007320 is about 63686.7907811345. The cubic root of 4056007320 is about 1594.7755792516.

The spelling of 4056007320 in words is "four billion, fifty-six million, seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 212579 425158 637737 850316 1062895 1275474 1700632 1913211 2125790 2550948 3188685 3826422 4251580 5101896 6377370 7652844 8503160 9566055 11266687 12754740 15305688 19132110 22533374 25509480 33800061 38264220 45066748 56333435 67600122 76528440 90133496 101400183 112666870 135200244 169000305 202800366 225333740 270400488 338000610 405600732 450667480 507000915 676001220 811201464 1014001830 1352002440 2028003660 4056007320