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8324140 = 22511157241
BaseRepresentation
bin11111110000010000101100
3120122220120111
4133300100230
54112333030
6454225404
7130516426
oct37602054
916586514
108324140
114776060
122955264
131955b36
141169816
15ae662a
hex7f042c

8324140 has 48 divisors (see below), whose sum is σ = 19270944. Its totient is φ = 2995200.

The previous prime is 8324083. The next prime is 8324143. The reversal of 8324140 is 414238.

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 (8324143) 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 15 ways as a sum of consecutive naturals, for example, 34420 + ... + 34660.

It is an arithmetic number, because the mean of its divisors is an integer number (401478).

Almost surely, 28324140 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 8324140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9635472).

8324140 is an abundant number, since it is smaller than the sum of its proper divisors (10946804).

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

8324140 is a wasteful number, since it uses less digits than its factorization.

8324140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 8324140 is about 2885.1585744981. The cubic root of 8324140 is about 202.6654848057.

Adding to 8324140 its reverse (414238), we get a palindrome (8738378).

It can be divided in two parts, 8324 and 140, that added together give a square (8464 = 922).

The spelling of 8324140 in words is "eight million, three hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 241 314 482 628 785 964 1205 1570 1727 2410 2651 3140 3454 4820 5302 6908 8635 10604 13255 17270 26510 34540 37837 53020 75674 151348 189185 378370 416207 756740 832414 1664828 2081035 4162070 8324140