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4122120432 = 243592336247
BaseRepresentation
bin1111010110110010…
…1001000011110000
3101122021111102012010
43311230221003300
531420230323212
61521011202520
7204102305553
oct36554510360
911567442163
104122120432
111825914101
129705a6440
1350900b821
142b166269a
15191d4903c
hexf5b290f0

4122120432 has 80 divisors (see below), whose sum is σ = 10877518080. Its totient is φ = 1344738816.

The previous prime is 4122120413. The next prime is 4122120451. The reversal of 4122120432 is 2340212214.

4122120432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4122120413) and next prime (4122120451).

It is a junction number, because it is equal to n+sod(n) for n = 4122120399 and 4122120408.

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, 656733 + ... + 662979.

It is an arithmetic number, because the mean of its divisors is an integer number (135968976).

Almost surely, 24122120432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122120432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438759040).

4122120432 is an abundant number, since it is smaller than the sum of its proper divisors (6755397648).

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

4122120432 is a wasteful number, since it uses less digits than its factorization.

4122120432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6550 (or 6544 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4122120432 is about 64203.7415732136. The cubic root of 4122120432 is about 1603.3938937547.

Adding to 4122120432 its reverse (2340212214), we get a palindrome (6462332646).

The spelling of 4122120432 in words is "four billion, one hundred twenty-two million, one hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 233 236 354 466 472 699 708 932 944 1398 1416 1864 2796 2832 3728 5592 6247 11184 12494 13747 18741 24988 27494 37482 41241 49976 54988 74964 82482 99952 109976 149928 164964 219952 299856 329928 368573 659856 737146 1105719 1455551 1474292 2211438 2911102 2948584 4366653 4422876 5822204 5897168 8733306 8845752 11644408 17466612 17691504 23288816 34933224 69866448 85877509 171755018 257632527 343510036 515265054 687020072 1030530108 1374040144 2061060216 4122120432