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8014240 = 255133853
BaseRepresentation
bin11110100100100110100000
3120002011110201
4132210212200
54022423430
6443434544
7125056063
oct36444640
916064421
108014240
114584243
122825a54
131877a70
1410c88da
15a848ca
hex7a49a0

8014240 has 48 divisors (see below), whose sum is σ = 20395368. Its totient is φ = 2958336.

The previous prime is 8014207. The next prime is 8014243. The reversal of 8014240 is 424108.

It can be written as a sum of positive squares in 4 ways, for example, as 7246864 + 767376 = 2692^2 + 876^2 .

It is not an unprimeable number, because it can be changed into a prime (8014243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154 + ... + 4006.

Almost surely, 28014240 is an apocalyptic number.

8014240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10197684).

8014240 is an abundant number, since it is smaller than the sum of its proper divisors (12381128).

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

8014240 is a wasteful number, since it uses less digits than its factorization.

8014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 8014240 is about 2830.9433056845. The cubic root of 8014240 is about 200.1185963273.

Adding to 8014240 its reverse (424108), we get a palindrome (8438348).

It can be divided in two parts, 801 and 4240, that added together give a square (5041 = 712).

The spelling of 8014240 in words is "eight million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 3853 7706 15412 19265 30824 38530 50089 61648 77060 100178 123296 154120 200356 250445 308240 400712 500890 616480 801424 1001780 1602848 2003560 4007120 8014240