Search a number
-
+
3142892880 = 243351455043
BaseRepresentation
bin1011101101010100…
…1011110101010000
322010000220111112000
42323111023311100
522414040033010
61235511034000
7140612102001
oct27325136520
98100814460
103142892880
111373098a36
1273866b900
133b119553a
1421b5a11a8
15135dbc7c0
hexbb54bd50

3142892880 has 80 divisors (see below), whose sum is σ = 10825527360. Its totient is φ = 838104192.

The previous prime is 3142892873. The next prime is 3142892899. The reversal of 3142892880 is 882982413.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725362 + ... + 729681.

It is an arithmetic number, because the mean of its divisors is an integer number (135319092).

Almost surely, 23142892880 is an apocalyptic number.

3142892880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3142892880 is an abundant number, since it is smaller than the sum of its proper divisors (7682634480).

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

3142892880 is a wasteful number, since it uses less digits than its factorization.

3142892880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455065 (or 1455053 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3142892880 is about 56061.5097905863. The cubic root of 3142892880 is about 1464.7939123102.

The spelling of 3142892880 in words is "three billion, one hundred forty-two million, eight hundred ninety-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1455043 2910086 4365129 5820172 7275215 8730258 11640344 13095387 14550430 17460516 21825645 23280688 26190774 29100860 34921032 39286161 43651290 52381548 58201720 65476935 69842064 78572322 87302580 104763096 116403440 130953870 157144644 174605160 196430805 209526192 261907740 314289288 349210320 392861610 523815480 628578576 785723220 1047630960 1571446440 3142892880