Search a number
-
+
4297120 = 255107251
BaseRepresentation
bin10000011001000110100000
322002022112121
4100121012200
52100001440
6232034024
751345022
oct20310640
98068477
104297120
112475543
121532914
13b75b99
147dc012
1559d34a
hex4191a0

4297120 has 48 divisors (see below), whose sum is σ = 10287648. Its totient is φ = 1696000.

The previous prime is 4297093. The next prime is 4297199. The reversal of 4297120 is 217924.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16995 + ... + 17245.

It is an arithmetic number, because the mean of its divisors is an integer number (214326).

Almost surely, 24297120 is an apocalyptic number.

4297120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4297120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143824).

4297120 is an abundant number, since it is smaller than the sum of its proper divisors (5990528).

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

4297120 is a wasteful number, since it uses less digits than its factorization.

4297120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 4297120 is about 2072.9495893533. The cubic root of 4297120 is about 162.5770206877.

The spelling of 4297120 in words is "four million, two hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 251 428 502 535 856 1004 1070 1255 1712 2008 2140 2510 3424 4016 4280 5020 8032 8560 10040 17120 20080 26857 40160 53714 107428 134285 214856 268570 429712 537140 859424 1074280 2148560 4297120