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4260465 = 3351119151
BaseRepresentation
bin10000010000001001110001
322000110021000
4100100021301
52042313330
6231152213
751133116
oct20201161
98013230
104260465
11244aa50
121515669
13b622b1
147cc90d
15592560
hex410271

4260465 has 64 divisors (see below), whose sum is σ = 8755200. Its totient is φ = 1944000.

The previous prime is 4260461. The next prime is 4260467. The reversal of 4260465 is 5640624.

It is a happy number.

It is not a de Polignac number, because 4260465 - 22 = 4260461 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4260461) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 28140 + ... + 28290.

It is an arithmetic number, because the mean of its divisors is an integer number (136800).

Almost surely, 24260465 is an apocalyptic number.

4260465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4260465 is an abundant number, since it is smaller than the sum of its proper divisors (4494735).

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

4260465 is a wasteful number, since it uses less digits than its factorization.

4260465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4260465 is about 2064.0893875993. The cubic root of 4260465 is about 162.1134322162.

The spelling of 4260465 in words is "four million, two hundred sixty thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 95 99 135 151 165 171 209 285 297 453 495 513 627 755 855 1045 1359 1485 1661 1881 2265 2565 2869 3135 4077 4983 5643 6795 8305 8607 9405 14345 14949 20385 24915 25821 28215 31559 43035 44847 74745 77463 94677 129105 157795 224235 284031 387315 473385 852093 1420155 4260465