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1264428620 = 2257133173307
BaseRepresentation
bin100101101011101…
…1010011001001100
310021010020121222122
41023113122121030
510042143203440
6325245032112
743222315550
oct11327323114
93233217878
101264428620
11599811a34
122b3555638
13171c62120
14bdd01860
15760157b5
hex4b5da64c

1264428620 has 192 divisors, whose sum is σ = 3430834176. Its totient is φ = 380712960.

The previous prime is 1264428619. The next prime is 1264428629. The reversal of 1264428620 is 268244621.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (1264428629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4118507 + ... + 4118813.

It is an arithmetic number, because the mean of its divisors is an integer number (17868928).

Almost surely, 21264428620 is an apocalyptic number.

1264428620 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 1264428620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715417088).

1264428620 is an abundant number, since it is smaller than the sum of its proper divisors (2166405556).

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

1264428620 is a wasteful number, since it uses less digits than its factorization.

1264428620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 1264428620 is about 35558.8050980344. The cubic root of 1264428620 is about 1081.3462350110.

The spelling of 1264428620 in words is "one billion, two hundred sixty-four million, four hundred twenty-eight thousand, six hundred twenty".