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8055040 = 28572931
BaseRepresentation
bin11110101110100100000000
3120011020102211
4132232210000
54030230130
6444351504
7125316040
oct36564400
916136384
108055040
114601964
122845594
1318904c6
1410d9720
15a91a2a
hex7ae900

8055040 has 144 divisors (see below), whose sum is σ = 23546880. Its totient is φ = 2580480.

The previous prime is 8055013. The next prime is 8055049. The reversal of 8055040 is 405508.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8055049) 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, 259825 + ... + 259855.

It is an arithmetic number, because the mean of its divisors is an integer number (163520).

Almost surely, 28055040 is an apocalyptic number.

8055040 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 8055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773440).

8055040 is an abundant number, since it is smaller than the sum of its proper divisors (15491840).

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

8055040 is a wasteful number, since it uses less digits than its factorization.

8055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 8055040 is about 2838.1402361406. The cubic root of 8055040 is about 200.4576187933.

The spelling of 8055040 in words is "eight million, fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 31 32 35 40 56 58 62 64 70 80 112 116 124 128 140 145 155 160 203 217 224 232 248 256 280 290 310 320 406 434 448 464 496 560 580 620 640 812 868 896 899 928 992 1015 1085 1120 1160 1240 1280 1624 1736 1792 1798 1856 1984 2030 2170 2240 2320 2480 3248 3472 3596 3712 3968 4060 4340 4480 4495 4640 4960 6293 6496 6944 7192 7424 7936 8120 8680 8960 8990 9280 9920 12586 12992 13888 14384 16240 17360 17980 18560 19840 25172 25984 27776 28768 31465 32480 34720 35960 37120 39680 50344 51968 55552 57536 62930 64960 69440 71920 100688 115072 125860 129920 138880 143840 201376 230144 251720 259840 277760 287680 402752 503440 575360 805504 1006880 1150720 1611008 2013760 4027520 8055040