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6420355100 = 2252477271879
BaseRepresentation
bin1011111101010111…
…01101100000011100
3121120110000211110122
411332223231200130
5101122102330400
62541030254112
7315050055305
oct57653554034
917513024418
106420355100
1127a51398a5
1212b21b7338
137b41b62b3
1444c9917ac
152789bc685
hex17eaed81c

6420355100 has 72 divisors (see below), whose sum is σ = 14255754240. Its totient is φ = 2508707520.

The previous prime is 6420355093. The next prime is 6420355157. The reversal of 6420355100 is 15530246.

It is a super-2 number, since 2×64203551002 = 82441919220192020000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6420355100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3415961 + ... + 3417839.

Almost surely, 26420355100 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 6420355100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7127877120).

6420355100 is an abundant number, since it is smaller than the sum of its proper divisors (7835399140).

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

6420355100 is a wasteful number, since it uses less digits than its factorization.

6420355100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 6420355100 is about 80127.1183807330. The cubic root of 6420355100 is about 1858.6017838080.

Adding to 6420355100 its reverse (15530246), we get a palindrome (6435885346).

The spelling of 6420355100 in words is "six billion, four hundred twenty million, three hundred fifty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 727 940 1175 1454 1879 2350 2908 3635 3758 4700 7270 7516 9395 14540 18175 18790 34169 36350 37580 46975 68338 72700 88313 93950 136676 170845 176626 187900 341690 353252 441565 683380 854225 883130 1366033 1708450 1766260 2207825 2732066 3416900 4415650 5464132 6830165 8831300 13660330 27320660 34150825 64203551 68301650 128407102 136603300 256814204 321017755 642035510 1284071020 1605088775 3210177550 6420355100