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8920314 = 2331397131
BaseRepresentation
bin100010000001…
…110011111010
3121210012101000
4202001303322
54240422224
6515105430
7135551514
oct42016372
917705330
108920314
115042a67
122ba2276
131b042c0
141282bb4
15bb30c9
hex881cfa

8920314 has 64 divisors (see below), whose sum is σ = 21732480. Its totient is φ = 2695680.

The previous prime is 8920279. The next prime is 8920321. The reversal of 8920314 is 4130298.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68029 + ... + 68159.

It is an arithmetic number, because the mean of its divisors is an integer number (339570).

Almost surely, 28920314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8920314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866240).

8920314 is an abundant number, since it is smaller than the sum of its proper divisors (12812166).

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

8920314 is a wasteful number, since it uses less digits than its factorization.

8920314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8920314 is about 2986.6894716391. The cubic root of 8920314 is about 207.3926594381.

The spelling of 8920314 in words is "eight million, nine hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 97 117 131 194 234 262 291 351 393 582 702 786 873 1179 1261 1703 1746 2358 2522 2619 3406 3537 3783 5109 5238 7074 7566 10218 11349 12707 15327 22698 25414 30654 34047 38121 45981 68094 76242 91962 114363 165191 228726 330382 343089 495573 686178 991146 1486719 2973438 4460157 8920314