Search a number
-
+
4705120 = 25574201
BaseRepresentation
bin10001111100101101100000
322212001012201
4101330231200
52201030440
6244502544
754664360
oct21745540
98761181
104705120
112724032
1216aaa54
13c897c4
148a69a0
1562e19a
hex47cb60

4705120 has 48 divisors (see below), whose sum is σ = 12706848. Its totient is φ = 1612800.

The previous prime is 4705117. The next prime is 4705139. The reversal of 4705120 is 215074.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 981 + ... + 3220.

It is an arithmetic number, because the mean of its divisors is an integer number (264726).

Almost surely, 24705120 is an apocalyptic number.

4705120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4705120 is an abundant number, since it is smaller than the sum of its proper divisors (8001728).

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

4705120 is a wasteful number, since it uses less digits than its factorization.

4705120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 4705120 is about 2169.1288573987. The cubic root of 4705120 is about 167.5676714758.

The spelling of 4705120 in words is "four million, seven hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 4201 8402 16804 21005 29407 33608 42010 58814 67216 84020 117628 134432 147035 168040 235256 294070 336080 470512 588140 672160 941024 1176280 2352560 4705120