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4128705 = 335717257
BaseRepresentation
bin1111101111111111000001
321202202112000
433233333001
52024104310
6224254213
750044020
oct17577701
97682460
104128705
11236aa59
121471369
13b17329
147968b7
155684c0
hex3effc1

4128705 has 64 divisors (see below), whose sum is σ = 8916480. Its totient is φ = 1769472.

The previous prime is 4128697. The next prime is 4128713. The reversal of 4128705 is 5078214.

It is an interprime number because it is at equal distance from previous prime (4128697) and next prime (4128713).

It is not a de Polignac number, because 4128705 - 23 = 4128697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15937 + ... + 16193.

It is an arithmetic number, because the mean of its divisors is an integer number (139320).

Almost surely, 24128705 is an apocalyptic number.

4128705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4128705 is an abundant number, since it is smaller than the sum of its proper divisors (4787775).

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

4128705 is a wasteful number, since it uses less digits than its factorization.

4128705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 4128705 is about 2031.9215043894. The cubic root of 4128705 is about 160.4247179483.

The spelling of 4128705 in words is "four million, one hundred twenty-eight thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 85 105 119 135 153 189 255 257 315 357 459 595 765 771 945 1071 1285 1785 1799 2295 2313 3213 3855 4369 5355 5397 6939 8995 11565 13107 16065 16191 21845 26985 30583 34695 39321 48573 65535 80955 91749 117963 152915 196605 242865 275247 458745 589815 825741 1376235 4128705