Search a number
-
+
1282030080 = 2935166931
BaseRepresentation
bin100110001101010…
…0011101000000000
310022100100212122120
41030122203220000
510111144430310
6331114204240
743525035012
oct11432435000
93270325576
101282030080
115a87441a1
122b9423680
131757b58a6
14c23a41b2
1577840b70
hex4c6a3a00

1282030080 has 80 divisors (see below), whose sum is σ = 4098514464. Its totient is φ = 341872640.

The previous prime is 1282030063. The next prime is 1282030093. The reversal of 1282030080 is 800302821.

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

It is a super-2 number, since 2×12820300802 = 3287202252049612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1282030080.

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 7 ways as a sum of consecutive naturals, for example, 75786 + ... + 91145.

Almost surely, 21282030080 is an apocalyptic number.

1282030080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1282030080 is an abundant number, since it is smaller than the sum of its proper divisors (2816484384).

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

1282030080 is an equidigital number, since it uses as much as digits as its factorization.

1282030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166957 (or 166941 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1282030080 is about 35805.4476302140. The cubic root of 1282030080 is about 1086.3407522910.

The spelling of 1282030080 in words is "one billion, two hundred eighty-two million, thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 166931 333862 500793 667724 834655 1001586 1335448 1669310 2003172 2503965 2670896 3338620 4006344 5007930 5341792 6677240 8012688 10015860 10683584 13354480 16025376 20031720 21367168 26708960 32050752 40063440 42734336 53417920 64101504 80126880 85468672 106835840 128203008 160253760 213671680 256406016 320507520 427343360 641015040 1282030080