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8045240 = 235759487
BaseRepresentation
bin11110101100001010111000
3120010201222212
4132230022320
54024421430
6444234252
7125245340
oct36541270
916121885
108045240
1145a5565
12283b988
131888bc8
1410d5d20
15a8db95
hex7ac2b8

8045240 has 64 divisors (see below), whose sum is σ = 21081600. Its totient is φ = 2706048.

The previous prime is 8045221. The next prime is 8045249. The reversal of 8045240 is 425408.

8045240 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

8045240 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8045249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16277 + ... + 16763.

It is an arithmetic number, because the mean of its divisors is an integer number (329400).

Almost surely, 28045240 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 8045240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10540800).

8045240 is an abundant number, since it is smaller than the sum of its proper divisors (13036360).

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

8045240 is a wasteful number, since it uses less digits than its factorization.

8045240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 8045240 is about 2836.4132280047. The cubic root of 8045240 is about 200.3762915792.

The spelling of 8045240 in words is "eight million, forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 140 236 280 295 413 472 487 590 826 974 1180 1652 1948 2065 2360 2435 3304 3409 3896 4130 4870 6818 8260 9740 13636 16520 17045 19480 27272 28733 34090 57466 68180 114932 136360 143665 201131 229864 287330 402262 574660 804524 1005655 1149320 1609048 2011310 4022620 8045240