Search a number
-
+
9979605 = 34541601
BaseRepresentation
bin100110000100…
…011011010101
3200210000110000
4212010123111
510023321410
6553521513
7150553026
oct46043325
920700400
109979605
1156a6909
123413299
1320b54bc
14147ac4d
15d21dc0
hex9846d5

9979605 has 40 divisors (see below), whose sum is σ = 18356184. Its totient is φ = 5184000.

The previous prime is 9979577. The next prime is 9979609. The reversal of 9979605 is 5069799.

It can be written as a sum of positive squares in 4 ways, for example, as 505521 + 9474084 = 711^2 + 3078^2 .

It is not a de Polignac number, because 9979605 - 221 = 7882453 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9979609) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 16305 + ... + 16905.

Almost surely, 29979605 is an apocalyptic number.

It is an amenable number.

9979605 is a deficient number, since it is larger than the sum of its proper divisors (8376579).

9979605 is a wasteful number, since it uses less digits than its factorization.

9979605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 9979605 is about 3159.0512816350. The cubic root of 9979605 is about 215.2969036663.

The spelling of 9979605 in words is "nine million, nine hundred seventy-nine thousand, six hundred five".

Divisors: 1 3 5 9 15 27 41 45 81 123 135 205 369 405 601 615 1107 1803 1845 3005 3321 5409 5535 9015 16227 16605 24641 27045 48681 73923 81135 123205 221769 243405 369615 665307 1108845 1995921 3326535 9979605