Search a number
-
+
106002020 = 22531170971
BaseRepresentation
bin1100101000101…
…11011001100100
321101110110102202
412110113121210
5204114031040
614303554032
72425000535
oct624273144
9241413382
10106002020
1154920983
122b5bb918
1318c656b7
141011468c
15948d015
hex6517664

106002020 has 24 divisors (see below), whose sum is σ = 229786368. Its totient is φ = 41032800.

The previous prime is 106002019. The next prime is 106002031. The reversal of 106002020 is 20200601.

It is a super-2 number, since 2×1060020202 = 22472856488160800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106001992 and 106002010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84866 + ... + 86105.

It is an arithmetic number, because the mean of its divisors is an integer number (9574432).

Almost surely, 2106002020 is an apocalyptic number.

106002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106002020 is an abundant number, since it is smaller than the sum of its proper divisors (123784348).

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

106002020 is a wasteful number, since it uses less digits than its factorization.

106002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171011 (or 171009 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 106002020 is about 10295.7282403917. The cubic root of 106002020 is about 473.2653553549.

Adding to 106002020 its reverse (20200601), we get a palindrome (126202621).

The spelling of 106002020 in words is "one hundred six million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 170971 341942 683884 854855 1709710 3419420 5300101 10600202 21200404 26500505 53001010 106002020