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128412128 = 25132313421
BaseRepresentation
bin1111010011101…
…10100111100000
322221122000022202
413221312213200
5230333142003
620424152332
73116325245
oct751664740
9287560282
10128412128
1166537a29
12370086a8
13207b0b10
14130a95cc
15b418088
hex7a769e0

128412128 has 48 divisors (see below), whose sum is σ = 284116896. Its totient is φ = 56686080.

The previous prime is 128412103. The next prime is 128412139. The reversal of 128412128 is 821214821.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 128412128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2858 + ... + 16278.

It is an arithmetic number, because the mean of its divisors is an integer number (5919102).

Almost surely, 2128412128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128412128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142058448).

128412128 is an abundant number, since it is smaller than the sum of its proper divisors (155704768).

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

128412128 is a wasteful number, since it uses less digits than its factorization.

128412128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13467 (or 13459 counting only the distinct ones).

The product of its digits is 2048, while the sum is 29.

The square root of 128412128 is about 11331.9075181542. The cubic root of 128412128 is about 504.5087245970.

Adding to 128412128 its reverse (821214821), we get a palindrome (949626949).

The spelling of 128412128 in words is "one hundred twenty-eight million, four hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2392 4784 9568 13421 26842 53684 107368 174473 214736 308683 348946 429472 617366 697892 1234732 1395784 2469464 2791568 4012879 4938928 5583136 8025758 9877856 16051516 32103032 64206064 128412128