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9980605 = 519313389
BaseRepresentation
bin100110000100…
…101010111101
3200210001211001
4212010222331
510023334410
6553530301
7150555655
oct46045275
920701731
109980605
1156a7638
123413991
1320b5aab
14147b365
15d2233a
hex984abd

9980605 has 16 divisors (see below), whose sum is σ = 13017600. Its totient is φ = 7318080.

The previous prime is 9980603. The next prime is 9980629. The reversal of 9980605 is 5060899.

9980605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9980605 - 21 = 9980603 is a prime.

It is a super-3 number, since 3×99806053 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9980603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251 + ... + 4639.

It is an arithmetic number, because the mean of its divisors is an integer number (813600).

Almost surely, 29980605 is an apocalyptic number.

9980605 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9980605 is a deficient number, since it is larger than the sum of its proper divisors (3036995).

9980605 is a wasteful number, since it uses less digits than its factorization.

9980605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444.

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 9980605 is about 3159.2095530370. The cubic root of 9980605 is about 215.3040946561.

It can be divided in two parts, 9980 and 605, that added together give a triangular number (10585 = T145).

The spelling of 9980605 in words is "nine million, nine hundred eighty thousand, six hundred five".

Divisors: 1 5 19 31 95 155 589 2945 3389 16945 64391 105059 321955 525295 1996121 9980605