Search a number
-
+
8059840 = 26589283
BaseRepresentation
bin11110101111101111000000
3120011111000121
4132233233000
54030403330
6444430024
7125336035
oct36575700
916144017
108059840
114605528
122848314
131892749
1410db38c
15a9317a
hex7afbc0

8059840 has 56 divisors (see below), whose sum is σ = 19476720. Its totient is φ = 3176448.

The previous prime is 8059837. The next prime is 8059841. The reversal of 8059840 is 489508.

It is a super-2 number, since 2×80598402 = 129922041651200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8059796 and 8059805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8059841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28339 + ... + 28621.

Almost surely, 28059840 is an apocalyptic number.

8059840 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 8059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9738360).

8059840 is an abundant number, since it is smaller than the sum of its proper divisors (11416880).

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

8059840 is a wasteful number, since it uses less digits than its factorization.

8059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 8059840 is about 2838.9857343777. The cubic root of 8059840 is about 200.4974284656.

The spelling of 8059840 in words is "eight million, fifty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 160 178 283 320 356 445 566 712 890 1132 1415 1424 1780 2264 2830 2848 3560 4528 5660 5696 7120 9056 11320 14240 18112 22640 25187 28480 45280 50374 90560 100748 125935 201496 251870 402992 503740 805984 1007480 1611968 2014960 4029920 8059840