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128357060 = 225134112041
BaseRepresentation
bin1111010011010…
…01001011000100
322221112012210012
413221221023010
5230324411220
620423045352
73116005556
oct751511304
9287465705
10128357060
11664aa617
1236ba0858
1320791a30
14130934d6
15b406ac5
hex7a692c4

128357060 has 48 divisors (see below), whose sum is σ = 297389232. Its totient is φ = 46233600.

The previous prime is 128357051. The next prime is 128357069. The reversal of 128357060 is 60753821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (128357051) and next prime (128357069).

It can be written as a sum of positive squares in 8 ways, for example, as 27394756 + 100962304 = 5234^2 + 10048^2 .

It is not an unprimeable number, because it can be changed into a prime (128357069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4640 + ... + 16680.

It is an arithmetic number, because the mean of its divisors is an integer number (6195609).

Almost surely, 2128357060 is an apocalyptic number.

128357060 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 128357060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148694616).

128357060 is an abundant number, since it is smaller than the sum of its proper divisors (169032172).

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

128357060 is a wasteful number, since it uses less digits than its factorization.

128357060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12104 (or 12102 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 128357060 is about 11329.4774813316. The cubic root of 128357060 is about 504.4365967816.

The spelling of 128357060 in words is "one hundred twenty-eight million, three hundred fifty-seven thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 12041 24082 48164 60205 120410 156533 240820 313066 493681 626132 782665 987362 1565330 1974724 2468405 3130660 4936810 6417853 9873620 12835706 25671412 32089265 64178530 128357060