Search a number
-
+
8027140 = 22511231107
BaseRepresentation
bin11110100111110000000100
3120002211011111
4132213300010
54023332030
6444014404
7125141512
oct36476004
916084144
108027140
114592a00
122831404
1318808b4
1410cd4b2
15a8862a
hex7a7c04

8027140 has 72 divisors (see below), whose sum is σ = 19305216. Its totient is φ = 2798400.

The previous prime is 8027093. The next prime is 8027141. The reversal of 8027140 is 417208.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (8027141) 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, 74967 + ... + 75073.

It is an arithmetic number, because the mean of its divisors is an integer number (268128).

Almost surely, 28027140 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 8027140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652608).

8027140 is an abundant number, since it is smaller than the sum of its proper divisors (11278076).

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

8027140 is a wasteful number, since it uses less digits than its factorization.

8027140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 8027140 is about 2833.2207820782. The cubic root of 8027140 is about 200.2259113908.

The spelling of 8027140 in words is "eight million, twenty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 107 110 121 124 155 214 220 242 310 341 428 484 535 605 620 682 1070 1177 1210 1364 1705 2140 2354 2420 3317 3410 3751 4708 5885 6634 6820 7502 11770 12947 13268 15004 16585 18755 23540 25894 33170 36487 37510 51788 64735 66340 72974 75020 129470 145948 182435 258940 364870 401357 729740 802714 1605428 2006785 4013570 8027140