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4270423680 = 273105113
BaseRepresentation
bin1111111010001001…
…0111111010000000
3102000121120000000000
43332202113322000
532221212024210
61543430000000
7210553000545
oct37642277200
912017500000
104270423680
1118a15a7576
129b21a6000
13530965323
142c7228bcc
1519ed90ac0
hexfe897e80

4270423680 has 352 divisors, whose sum is σ = 15448902660. Its totient is φ = 1128701952.

The previous prime is 4270423669. The next prime is 4270423687. The reversal of 4270423680 is 863240724.

It can be written as a sum of positive squares in 2 ways, for example, as 3631749696 + 638673984 = 60264^2 + 25272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4270423687) by changing a digit.

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 43 ways as a sum of consecutive naturals, for example, 37791304 + ... + 37791416.

Almost surely, 24270423680 is an apocalyptic number.

4270423680 is a gapful number since it is divisible by the number (40) 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 4270423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7724451330).

4270423680 is an abundant number, since it is smaller than the sum of its proper divisors (11178478980).

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

4270423680 is an frugal number, since it uses more digits than its factorization.

4270423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4270423680 is about 65348.4787887216. The cubic root of 4270423680 is about 1622.3964531977.

The spelling of 4270423680 in words is "four billion, two hundred seventy million, four hundred twenty-three thousand, six hundred eighty".