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6420420200 = 2352294792311
BaseRepresentation
bin1011111101010111…
…11101011001101000
3121120110011010202202
411332223331121220
5101122111421300
62541031515332
7315050446145
oct57653753150
917513133682
106420420200
1127a51837a7
1212b2228b48
137b4209b0c
1444c9ab3cc
152789d1ad5
hex17eafd668

6420420200 has 96 divisors (see below), whose sum is σ = 15481152000. Its totient is φ = 2473363200.

The previous prime is 6420420191. The next prime is 6420420233. The reversal of 6420420200 is 20240246.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2777045 + ... + 2779355.

It is an arithmetic number, because the mean of its divisors is an integer number (161262000).

Almost surely, 26420420200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6420420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740576000).

6420420200 is an abundant number, since it is smaller than the sum of its proper divisors (9060731800).

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

6420420200 is a wasteful number, since it uses less digits than its factorization.

6420420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 6420420200 is about 80127.5246092128. The cubic root of 6420420200 is about 1858.6080656291.

Adding to 6420420200 its reverse (20240246), we get a palindrome (6440660446).

The spelling of 6420420200 in words is "six billion, four hundred twenty million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 479 580 725 958 1160 1450 1916 2311 2395 2900 3832 4622 4790 5800 9244 9580 11555 11975 13891 18488 19160 23110 23950 27782 46220 47900 55564 57775 67019 69455 92440 95800 111128 115550 134038 138910 231100 268076 277820 335095 347275 462200 536152 555640 670190 694550 1106969 1340380 1389100 1675475 2213938 2680760 2778200 3350950 4427876 5534845 6701900 8855752 11069690 13403800 22139380 27674225 32102101 44278760 55348450 64204202 110696900 128408404 160510505 221393800 256816808 321021010 642042020 802552525 1284084040 1605105050 3210210100 6420420200