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8368965 = 3251122953
BaseRepresentation
bin11111111011001101000101
3120202012001200
4133323031011
54120301330
6455213113
7131064213
oct37731505
916665050
108368965
1147a6800
122977199
131970367
14117bcb3
15b04a60
hex7fb345

8368965 has 72 divisors (see below), whose sum is σ = 16805880. Its totient is φ = 3843840.

The previous prime is 8368963. The next prime is 8368979. The reversal of 8368965 is 5698638.

It can be written as a sum of positive squares in 4 ways, for example, as 1572516 + 6796449 = 1254^2 + 2607^2 .

It is not a de Polignac number, because 8368965 - 21 = 8368963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 8368965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8368963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157879 + ... + 157931.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 28368965 is an apocalyptic number.

It is an amenable number.

8368965 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

8368965 is a wasteful number, since it uses less digits than its factorization.

8368965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 8368965 is about 2892.9163486005. The cubic root of 8368965 is about 203.0286143103.

It can be divided in two parts, 836 and 8965, that added together give a square (9801 = 992).

The spelling of 8368965 in words is "eight million, three hundred sixty-eight thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 11 15 29 33 45 53 55 87 99 121 145 159 165 261 265 319 363 435 477 495 583 605 795 957 1089 1305 1537 1595 1749 1815 2385 2871 2915 3509 4611 4785 5247 5445 6413 7685 8745 10527 13833 14355 16907 17545 19239 23055 26235 31581 32065 50721 52635 57717 69165 84535 96195 152163 157905 185977 253605 288585 557931 760815 929885 1673793 2789655 8368965