Search a number
-
+
2144575860 = 223575106133
BaseRepresentation
bin111111111010011…
…1010000101110100
312112110101202000120
41333310322011310
513343002411420
6552445411540
7104100410520
oct17764720564
95473352016
102144575860
11a00614649
124ba269bb0
132823c73cb
14164b70d80
15c841ed40
hex7fd3a174

2144575860 has 48 divisors (see below), whose sum is σ = 6862644096. Its totient is φ = 490188672.

The previous prime is 2144575819. The next prime is 2144575871. The reversal of 2144575860 is 685754412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2552647 + ... + 2553486.

It is an arithmetic number, because the mean of its divisors is an integer number (142971752).

Almost surely, 22144575860 is an apocalyptic number.

2144575860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144575860 is an abundant number, since it is smaller than the sum of its proper divisors (4718068236).

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

2144575860 is a wasteful number, since it uses less digits than its factorization.

2144575860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106152 (or 5106150 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 2144575860 is about 46309.5655345632. The cubic root of 2144575860 is about 1289.5765811848.

The spelling of 2144575860 in words is "two billion, one hundred forty-four million, five hundred seventy-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 5106133 10212266 15318399 20424532 25530665 30636798 35742931 51061330 61273596 71485862 76591995 102122660 107228793 142971724 153183990 178714655 214457586 306367980 357429310 428915172 536143965 714858620 1072287930 2144575860