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1268942220 = 2233573131731
BaseRepresentation
bin100101110100010…
…1000010110001100
310021102201221111000
41023220220112030
510044322122340
6325525500300
743305555000
oct11350502614
93242657430
101268942220
115a1315087
122b4b71690
13172b826b0
14c0758700
1576607d30
hex4ba2858c

1268942220 has 768 divisors, whose sum is σ = 5419008000. Its totient is φ = 243855360.

The previous prime is 1268942167. The next prime is 1268942243. The reversal of 1268942220 is 222498621.

It is a super-2 number, since 2×12689422202 = 3220428715397056800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40933605 + ... + 40933635.

It is an arithmetic number, because the mean of its divisors is an integer number (7056000).

Almost surely, 21268942220 is an apocalyptic number.

1268942220 is a gapful number since it is divisible by the number (10) 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 1268942220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709504000).

1268942220 is an abundant number, since it is smaller than the sum of its proper divisors (4150065780).

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

1268942220 is a wasteful number, since it uses less digits than its factorization.

1268942220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1268942220 is about 35622.2152595820. The cubic root of 1268942220 is about 1082.6313921160.

The spelling of 1268942220 in words is "one billion, two hundred sixty-eight million, nine hundred forty-two thousand, two hundred twenty".