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128958345 = 3351783677
BaseRepresentation
bin1111010111110…
…11111110001001
322222122202121000
413223323332021
5231003131340
620444005213
73124061565
oct753737611
9288582530
10128958345
116688034a
1237230809
1320942619
14131ac6a5
15b4c4d30
hex7afbf89

128958345 has 64 divisors (see below), whose sum is σ = 246032640. Its totient is φ = 63857664.

The previous prime is 128958343. The next prime is 128958353. The reversal of 128958345 is 543859821.

128958345 is a `hidden beast` number, since 1 + 28 + 9 + 583 + 45 = 666.

It is not a de Polignac number, because 128958345 - 21 = 128958343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 128958345.

It is not an unprimeable number, because it can be changed into a prime (128958343) 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 63 ways as a sum of consecutive naturals, for example, 190147 + ... + 190823.

It is an arithmetic number, because the mean of its divisors is an integer number (3844260).

Almost surely, 2128958345 is an apocalyptic number.

128958345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128958345 is a deficient number, since it is larger than the sum of its proper divisors (117074295).

128958345 is a wasteful number, since it uses less digits than its factorization.

128958345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 128958345 is about 11355.9827844181. The cubic root of 128958345 is about 505.2230429963.

The spelling of 128958345 in words is "one hundred twenty-eight million, nine hundred fifty-eight thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 83 85 135 153 249 255 415 459 677 747 765 1245 1411 2031 2241 2295 3385 3735 4233 6093 7055 10155 11205 11509 12699 18279 21165 30465 34527 38097 56191 57545 63495 91395 103581 168573 172635 190485 280955 310743 505719 517905 842865 955247 1517157 1553715 2528595 2865741 4776235 7585785 8597223 14328705 25791669 42986115 128958345