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6396435220 = 225731247543
BaseRepresentation
bin1011111010100000…
…11101101100010100
3121111210000120120011
411331100131230110
5101044441411340
62534413450004
7314336542120
oct57520355424
917453016504
106396435220
1127926914aa
1212a61a0904
137ac25c916
14449726580
152768450ea
hex17d41db14

6396435220 has 72 divisors (see below), whose sum is σ = 15862960512. Its totient is φ = 2122274880.

The previous prime is 6396435209. The next prime is 6396435259. The reversal of 6396435220 is 225346936.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 110769 + ... + 158311.

It is an arithmetic number, because the mean of its divisors is an integer number (220318896).

Almost surely, 26396435220 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 6396435220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931480256).

6396435220 is an abundant number, since it is smaller than the sum of its proper divisors (9466525292).

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

6396435220 is a wasteful number, since it uses less digits than its factorization.

6396435220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47621 (or 47588 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The square root of 6396435220 is about 79977.7170216805. The cubic root of 6396435220 is about 1856.2907560272.

The spelling of 6396435220 in words is "six billion, three hundred ninety-six million, four hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 961 1085 1922 2170 3844 4340 4805 6727 9610 13454 19220 26908 33635 47543 67270 95086 134540 190172 237715 332801 475430 665602 950860 1331204 1473833 1664005 2947666 3328010 5895332 6656020 7369165 10316831 14738330 20633662 29476660 41267324 45688823 51584155 91377646 103168310 182755292 206336620 228444115 319821761 456888230 639643522 913776460 1279287044 1599108805 3198217610 6396435220