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8145240 = 2335103659
BaseRepresentation
bin11111000100100101011000
3120022211011120
4133010211120
54041121430
6450325240
7126143025
oct37044530
916284146
108145240
114663704
122889820
1318c258c
14112054c
15aad610
hex7c4958

8145240 has 64 divisors (see below), whose sum is σ = 24710400. Its totient is φ = 2147712.

The previous prime is 8145239. The next prime is 8145253. The reversal of 8145240 is 425418.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8145240.

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 15 ways as a sum of consecutive naturals, for example, 12031 + ... + 12689.

It is an arithmetic number, because the mean of its divisors is an integer number (386100).

Almost surely, 28145240 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 8145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355200).

8145240 is an abundant number, since it is smaller than the sum of its proper divisors (16565160).

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

8145240 is a wasteful number, since it uses less digits than its factorization.

8145240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 8145240 is about 2853.9866853228. The cubic root of 8145240 is about 201.2030817931.

It can be divided in two parts, 8145 and 240, that added together give a triangular number (8385 = T129).

The spelling of 8145240 in words is "eight million, one hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 659 824 1030 1236 1318 1545 1977 2060 2472 2636 3090 3295 3954 4120 5272 6180 6590 7908 9885 12360 13180 15816 19770 26360 39540 67877 79080 135754 203631 271508 339385 407262 543016 678770 814524 1018155 1357540 1629048 2036310 2715080 4072620 8145240