Search a number
-
+
2042671120 = 24573647627
BaseRepresentation
bin111100111000000…
…1011000000010000
312021100122102222221
41321300023000100
513140410433440
6534405310424
7101422263250
oct17160130020
95240572887
102042671120
11959042056
12490105414
13267267949
14155405960
15be4e0d4a
hex79c0b010

2042671120 has 40 divisors (see below), whose sum is σ = 5427670464. Its totient is φ = 700344192.

The previous prime is 2042671063. The next prime is 2042671123. The reversal of 2042671120 is 211762402.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2042671123) by changing a digit.

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, 1823254 + ... + 1824373.

Almost surely, 22042671120 is an apocalyptic number.

2042671120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042671120 is an abundant number, since it is smaller than the sum of its proper divisors (3384999344).

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

2042671120 is a wasteful number, since it uses less digits than its factorization.

2042671120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647647 (or 3647641 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2042671120 is about 45195.9192848204. The cubic root of 2042671120 is about 1268.8184435078.

The spelling of 2042671120 in words is "two billion, forty-two million, six hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3647627 7295254 14590508 18238135 25533389 29181016 36476270 51066778 58362032 72952540 102133556 127666945 145905080 204267112 255333890 291810160 408534224 510667780 1021335560 2042671120