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8055840 = 2535131291
BaseRepresentation
bin11110101110110000100000
3120011021112110
4132232300200
54030241330
6444355320
7125321262
oct36566040
916137473
108055840
114602521
122845b40
131890990
1410d9b32
15a91db0
hex7aec20

8055840 has 96 divisors (see below), whose sum is σ = 27349056. Its totient is φ = 1981440.

The previous prime is 8055811. The next prime is 8055851. The reversal of 8055840 is 485508.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8055798 and 8055807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5595 + ... + 6885.

It is an arithmetic number, because the mean of its divisors is an integer number (284886).

Almost surely, 28055840 is an apocalyptic number.

8055840 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 8055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13674528).

8055840 is an abundant number, since it is smaller than the sum of its proper divisors (19293216).

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

8055840 is a wasteful number, since it uses less digits than its factorization.

8055840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 8055840 is about 2838.2811700041. The cubic root of 8055840 is about 200.4642548367.

The spelling of 8055840 in words is "eight million, fifty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1291 1560 2080 2582 3120 3873 5164 6240 6455 7746 10328 12910 15492 16783 19365 20656 25820 30984 33566 38730 41312 50349 51640 61968 67132 77460 83915 100698 103280 123936 134264 154920 167830 201396 206560 251745 268528 309840 335660 402792 503490 537056 619680 671320 805584 1006980 1342640 1611168 2013960 2685280 4027920 8055840