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128953053 = 35292631
BaseRepresentation
bin1111010111110…
…10101011011101
322222122111100000
413223322223131
5231002444203
620443524513
73124040265
oct753725335
9288574300
10128953053
1166877379
1237229739
13209400a8
14131aa7a5
15b4c34a3
hex7afaadd

128953053 has 36 divisors (see below), whose sum is σ = 200371808. Its totient is φ = 82872720.

The previous prime is 128953021. The next prime is 128953073. The reversal of 128953053 is 350359821.

It is not a de Polignac number, because 128953053 - 25 = 128953021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 128952999 and 128953017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128953073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204048 + ... + 204678.

Almost surely, 2128953053 is an apocalyptic number.

It is an amenable number.

128953053 is a deficient number, since it is larger than the sum of its proper divisors (71418755).

128953053 is an frugal number, since it uses more digits than its factorization.

128953053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 128953053 is about 11355.7497770953. The cubic root of 128953053 is about 505.2161320388.

The spelling of 128953053 in words is "one hundred twenty-eight million, nine hundred fifty-three thousand, fifty-three".

Divisors: 1 3 9 27 29 81 87 243 261 631 783 841 1893 2349 2523 5679 7047 7569 17037 18299 22707 51111 54897 68121 153333 164691 204363 494073 530671 1482219 1592013 4446657 4776039 14328117 42984351 128953053