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8430080 = 2953789
BaseRepresentation
bin100000001010…
…001000000000
3120212021220012
4200022020000
54124230310
6500404052
7131440331
oct40121000
916767805
108430080
11483870a
1229a6628
131992119
141196288
15b17c05
hex80a200

8430080 has 80 divisors (see below), whose sum is σ = 20991960. Its totient is φ = 3244032.

The previous prime is 8430073. The next prime is 8430089. The reversal of 8430080 is 800348.

8430080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7139584 + 1290496 = 2672^2 + 1136^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (8430089) 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, 94676 + ... + 94764.

Almost surely, 28430080 is an apocalyptic number.

8430080 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 8430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10495980).

8430080 is an abundant number, since it is smaller than the sum of its proper divisors (12561880).

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

8430080 is an equidigital number, since it uses as much as digits as its factorization.

8430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 8430080 is about 2903.4600048907. The cubic root of 8430080 is about 203.5216267686.

The spelling of 8430080 in words is "eight million, four hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 89 128 148 160 178 185 256 296 320 356 370 445 512 592 640 712 740 890 1184 1280 1424 1480 1780 2368 2560 2848 2960 3293 3560 4736 5696 5920 6586 7120 9472 11392 11840 13172 14240 16465 18944 22784 23680 26344 28480 32930 45568 47360 52688 56960 65860 94720 105376 113920 131720 210752 227840 263440 421504 526880 843008 1053760 1686016 2107520 4215040 8430080