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8066240 = 265713277
BaseRepresentation
bin11110110001010011000000
3120011210210122
4132301103000
54031104430
6444515412
7125363510
oct36612300
916153718
108066240
11460a316
12284bb68
131895630
1410dd840
15a94ee5
hex7b14c0

8066240 has 112 divisors (see below), whose sum is σ = 23725632. Its totient is φ = 2543616.

The previous prime is 8066209. The next prime is 8066243. The reversal of 8066240 is 426608.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (8066243) 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, 28982 + ... + 29258.

It is an arithmetic number, because the mean of its divisors is an integer number (211836).

Almost surely, 28066240 is an apocalyptic number.

8066240 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 8066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11862816).

8066240 is an abundant number, since it is smaller than the sum of its proper divisors (15659392).

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

8066240 is a wasteful number, since it uses less digits than its factorization.

8066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 8066240 is about 2840.1126738212. The cubic root of 8066240 is about 200.5504834497.

The spelling of 8066240 in words is "eight million, sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 277 280 320 364 416 448 455 520 554 560 728 832 910 1040 1108 1120 1385 1456 1820 1939 2080 2216 2240 2770 2912 3601 3640 3878 4160 4432 5540 5824 7202 7280 7756 8864 9695 11080 14404 14560 15512 17728 18005 19390 22160 25207 28808 29120 31024 36010 38780 44320 50414 57616 62048 72020 77560 88640 100828 115232 124096 126035 144040 155120 201656 230464 252070 288080 310240 403312 504140 576160 620480 806624 1008280 1152320 1613248 2016560 4033120 8066240