Search a number
-
+
8814140 = 2253743277
BaseRepresentation
bin100001100111…
…111000111100
3121120210201122
4201213320330
54224023030
6512530112
7134630126
oct41477074
917523648
108814140
114a80215
122b50938
131a97b8a
141256216
15b918e5
hex867e3c

8814140 has 48 divisors (see below), whose sum is σ = 19522272. Its totient is φ = 3338496.

The previous prime is 8814133. The next prime is 8814149. The reversal of 8814140 is 414188.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8814149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31682 + ... + 31958.

It is an arithmetic number, because the mean of its divisors is an integer number (406714).

Almost surely, 28814140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8814140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9761136).

8814140 is an abundant number, since it is smaller than the sum of its proper divisors (10708132).

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

8814140 is a wasteful number, since it uses less digits than its factorization.

8814140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 8814140 is about 2968.8617347394. The cubic root of 8814140 is about 206.5665430145.

The spelling of 8814140 in words is "eight million, eight hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 43 74 86 148 172 185 215 277 370 430 554 740 860 1108 1385 1591 2770 3182 5540 6364 7955 10249 11911 15910 20498 23822 31820 40996 47644 51245 59555 102490 119110 204980 238220 440707 881414 1762828 2203535 4407070 8814140