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20677314 = 2372531327
BaseRepresentation
bin100111011100…
…0001011000010
31102220111221110
41032320023002
520243133224
62015104150
7340516500
oct116701302
942814843
1020677314
1110743199
126b12056
13438c7c8
142a63670
151c36929
hex13b82c2

20677314 has 48 divisors (see below), whose sum is σ = 49051008. Its totient is φ = 5791968.

The previous prime is 20677313. The next prime is 20677331. The reversal of 20677314 is 41377602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20677313) 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 23 ways as a sum of consecutive naturals, for example, 14919 + ... + 16245.

It is an arithmetic number, because the mean of its divisors is an integer number (1021896).

Almost surely, 220677314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20677314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24525504).

20677314 is an abundant number, since it is smaller than the sum of its proper divisors (28373694).

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

20677314 is a wasteful number, since it uses less digits than its factorization.

20677314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 20677314 is about 4547.2314654084. The cubic root of 20677314 is about 274.4719962408.

The spelling of 20677314 in words is "twenty million, six hundred seventy-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 318 371 742 1113 1327 2226 2597 2654 3981 5194 7791 7962 9289 15582 18578 27867 55734 65023 70331 130046 140662 195069 210993 390138 421986 492317 984634 1476951 2953902 3446219 6892438 10338657 20677314