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6005700020 = 225313959377
BaseRepresentation
bin1011001011111011…
…11011010110110100
3120111112210011122002
411211331323112310
544244424400040
62431534554432
7301553415335
oct54575732664
916445704562
106005700020
112602074351
1211b7368a18
13749313368
1440d89428c
152523b1a15
hex165f7b5b4

6005700020 has 24 divisors (see below), whose sum is σ = 12652277064. Its totient is φ = 2394602496.

The previous prime is 6005700013. The next prime is 6005700023. The reversal of 6005700020 is 200075006.

It can be written as a sum of positive squares in 4 ways, for example, as 941385124 + 5064314896 = 30682^2 + 71164^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 6005699965 and 6005700001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005700023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 473429 + ... + 485948.

It is an arithmetic number, because the mean of its divisors is an integer number (527178211).

Almost surely, 26005700020 is an apocalyptic number.

It is an amenable number.

6005700020 is an abundant number, since it is smaller than the sum of its proper divisors (6646577044).

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

6005700020 is a wasteful number, since it uses less digits than its factorization.

6005700020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959699 (or 959697 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 6005700020 is about 77496.4516607051. The cubic root of 6005700020 is about 1817.6958342502.

Adding to 6005700020 its reverse (200075006), we get a palindrome (6205775026).

The spelling of 6005700020 in words is "six billion, five million, seven hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 313 626 1252 1565 3130 6260 959377 1918754 3837508 4796885 9593770 19187540 300285001 600570002 1201140004 1501425005 3002850010 6005700020