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6302790420 = 223531103167197
BaseRepresentation
bin1011101111010110…
…01111001100010100
3121021020210221001020
411313223033030110
5100402003243140
62521230401140
7312121556163
oct56753171424
917236727036
106302790420
112744840803
12127a9601b0
13795a329b4
1443b10b3da
1526d4e86d0
hex177acf314

6302790420 has 192 divisors, whose sum is σ = 18598035456. Its totient is φ = 1592962560.

The previous prime is 6302790407. The next prime is 6302790421. The reversal of 6302790420 is 240972036.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6302790421) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 31993762 + ... + 31993958.

It is an arithmetic number, because the mean of its divisors is an integer number (96864768).

Almost surely, 26302790420 is an apocalyptic number.

6302790420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6302790420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9299017728).

6302790420 is an abundant number, since it is smaller than the sum of its proper divisors (12295245036).

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

6302790420 is a wasteful number, since it uses less digits than its factorization.

6302790420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 6302790420 is about 79390.1153796869. The cubic root of 6302790420 is about 1847.1873910378.

The spelling of 6302790420 in words is "six billion, three hundred two million, seven hundred ninety thousand, four hundred twenty".