[go: up one dir, main page]

Search a number
-
+
1010024020 = 225311629071
BaseRepresentation
bin111100001100111…
…011111001010100
32121101112112111001
4330030323321110
54032031232040
6244120153044
734013030305
oct7414737124
92541475431
101010024020
1147914aaa5
12242308784
13131339965
14981da7ac
155da1159a
hex3c33be54

1010024020 has 24 divisors (see below), whose sum is σ = 2189472768. Its totient is φ = 390976800.

The previous prime is 1010023999. The next prime is 1010024023. The reversal of 1010024020 is 204200101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1010023988 and 1010024006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010024023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 813916 + ... + 815155.

It is an arithmetic number, because the mean of its divisors is an integer number (91228032).

Almost surely, 21010024020 is an apocalyptic number.

1010024020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010024020 is an abundant number, since it is smaller than the sum of its proper divisors (1179448748).

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

1010024020 is a wasteful number, since it uses less digits than its factorization.

1010024020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629111 (or 1629109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1010024020 is about 31780.8750666183. The cubic root of 1010024020 is about 1003.3302372088.

Adding to 1010024020 its reverse (204200101), we get a palindrome (1214224121).

The spelling of 1010024020 in words is "one billion, ten million, twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1629071 3258142 6516284 8145355 16290710 32581420 50501201 101002402 202004804 252506005 505012010 1010024020