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8059240 = 2357107269
BaseRepresentation
bin11110101111100101101000
3120011110012101
4132233211220
54030343430
6444423144
7125334220
oct36574550
916143171
108059240
114605032
122847ab4
1318923a7
1410db080
15a92dca
hex7af968

8059240 has 64 divisors (see below), whose sum is σ = 20995200. Its totient is φ = 2727168.

The previous prime is 8059213. The next prime is 8059243. The reversal of 8059240 is 429508.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 8059199 and 8059208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8059243) 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, 29826 + ... + 30094.

It is an arithmetic number, because the mean of its divisors is an integer number (328050).

Almost surely, 28059240 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 8059240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10497600).

8059240 is an abundant number, since it is smaller than the sum of its proper divisors (12935960).

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

8059240 is a wasteful number, since it uses less digits than its factorization.

8059240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 8059240 is about 2838.8800608691. The cubic root of 8059240 is about 200.4924531211.

Adding to 8059240 its product of nonzero digits (2880), we get a triangular number (8062120 = T4015).

The spelling of 8059240 in words is "eight million, fifty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 269 280 428 535 538 749 856 1070 1076 1345 1498 1883 2140 2152 2690 2996 3745 3766 4280 5380 5992 7490 7532 9415 10760 14980 15064 18830 28783 29960 37660 57566 75320 115132 143915 201481 230264 287830 402962 575660 805924 1007405 1151320 1611848 2014810 4029620 8059240