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8025000 = 23355107
BaseRepresentation
bin11110100111001110101000
3120002201020020
4132213032220
54023300000
6444000440
7125132334
oct36471650
916081206
108025000
114591335
122830120
13187c929
1410cc7c4
15a87ba0
hex7a73a8

8025000 has 96 divisors (see below), whose sum is σ = 25310880. Its totient is φ = 2120000.

The previous prime is 8024987. The next prime is 8025013. The reversal of 8025000 is 5208.

It is an interprime number because it is at equal distance from previous prime (8024987) and next prime (8025013).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74947 + ... + 75053.

It is an arithmetic number, because the mean of its divisors is an integer number (263655).

Almost surely, 28025000 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 8025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655440).

8025000 is an abundant number, since it is smaller than the sum of its proper divisors (17285880).

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

8025000 is a wasteful number, since it uses less digits than its factorization.

8025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 8025000 is about 2832.8430948431. The cubic root of 8025000 is about 200.2081166954.

The spelling of 8025000 in words is "eight million, twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 107 120 125 150 200 214 250 300 321 375 428 500 535 600 625 642 750 856 1000 1070 1250 1284 1500 1605 1875 2140 2500 2568 2675 3000 3125 3210 3750 4280 5000 5350 6250 6420 7500 8025 9375 10700 12500 12840 13375 15000 16050 18750 21400 25000 26750 32100 37500 40125 53500 64200 66875 75000 80250 107000 133750 160500 200625 267500 321000 334375 401250 535000 668750 802500 1003125 1337500 1605000 2006250 2675000 4012500 8025000