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8195040 = 253357271
BaseRepresentation
bin11111010000101111100000
3120102100111000
4133100233200
54044220130
6451352000
7126441150
oct37205740
916370430
108195040
114698067
1228b2600
13190c149
141134760
15abd260
hex7d0be0

8195040 has 192 divisors, whose sum is σ = 32901120. Its totient is φ = 1866240.

The previous prime is 8195021. The next prime is 8195059. The reversal of 8195040 is 405918.

It is an interprime number because it is at equal distance from previous prime (8195021) and next prime (8195059).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8194995 and 8195013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30105 + ... + 30375.

It is an arithmetic number, because the mean of its divisors is an integer number (171360).

Almost surely, 28195040 is an apocalyptic number.

8195040 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 8195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

8195040 is an abundant number, since it is smaller than the sum of its proper divisors (24706080).

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

8195040 is a wasteful number, since it uses less digits than its factorization.

8195040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8195040 is about 2862.6980280847. The cubic root of 8195040 is about 201.6123008367.

The spelling of 8195040 in words is "eight million, one hundred ninety-five thousand, forty".