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4083472120 = 2357131121833
BaseRepresentation
bin1111001101100100…
…1101011011111000
3101112120202212200011
43303121031123320
531330332101440
61513110551304
7203122640350
oct36331153370
911476685604
104083472120
111806017052
1295b668534
13500cc92c0
142aa481b60
1518d7629ea
hexf364d6f8

4083472120 has 64 divisors (see below), whose sum is σ = 11308086720. Its totient is φ = 1292350464.

The previous prime is 4083472103. The next prime is 4083472157. The reversal of 4083472120 is 212743804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557277 + ... + 564556.

It is an arithmetic number, because the mean of its divisors is an integer number (176688855).

Almost surely, 24083472120 is an apocalyptic number.

4083472120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4083472120 is an abundant number, since it is smaller than the sum of its proper divisors (7224614600).

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

4083472120 is a wasteful number, since it uses less digits than its factorization.

4083472120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121864 (or 1121860 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 4083472120 is about 63902.0509842994. The cubic root of 4083472120 is about 1598.3670997148.

The spelling of 4083472120 in words is "four billion, eighty-three million, four hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 1121833 2243666 4487332 5609165 7852831 8974664 11218330 14583829 15705662 22436660 29167658 31411324 39264155 44873320 58335316 62822648 72919145 78528310 102086803 116670632 145838290 157056620 204173606 291676580 314113240 408347212 510434015 583353160 816694424 1020868030 2041736060 4083472120