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127872675 = 355273197
BaseRepresentation
bin1111001111100…
…10111010100011
322220121121100000
413213302322203
5230213411200
620404431043
73111620430
oct747627243
9286547300
10127872675
11661a96a7
12369a8483
1320652408
1412da8b87
15b35d300
hex79f2ea3

127872675 has 144 divisors (see below), whose sum is σ = 283092992. Its totient is φ = 55987200.

The previous prime is 127872673. The next prime is 127872743. The reversal of 127872675 is 576278721.

It is not a de Polignac number, because 127872675 - 21 = 127872673 is a prime.

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

Its product of digits (329280) is a multiple of the sum of its prime factors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 127872675.

It is not an unprimeable number, because it can be changed into a prime (127872671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1318227 + ... + 1318323.

Almost surely, 2127872675 is an apocalyptic number.

127872675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

127872675 is an abundant number, since it is smaller than the sum of its proper divisors (155220317).

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

127872675 is an equidigital number, since it uses as much as digits as its factorization.

127872675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The square root of 127872675 is about 11308.0800757688. The cubic root of 127872675 is about 503.8012609285.

The spelling of 127872675 in words is "one hundred twenty-seven million, eight hundred seventy-two thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 31 35 45 63 75 81 93 97 105 135 155 175 189 217 225 243 279 291 315 405 465 485 525 567 651 675 679 775 837 873 945 1085 1215 1395 1455 1575 1701 1953 2025 2037 2325 2425 2511 2619 2835 3007 3255 3395 4185 4365 4725 5425 5859 6075 6111 6975 7275 7533 7857 8505 9021 9765 10185 12555 13095 14175 15035 16275 16975 17577 18333 20925 21049 21825 23571 27063 29295 30555 37665 39285 42525 45105 48825 50925 52731 54999 62775 63147 65475 75175 81189 87885 91665 105245 117855 135315 146475 152775 164997 188325 189441 196425 225525 243567 263655 274995 315735 405945 439425 458325 526225 568323 589275 676575 730701 824985 947205 1217835 1318275 1374975 1578675 1704969 2029725 2841615 3653505 4124925 4736025 5114907 6089175 8524845 14208075 18267525 25574535 42624225 127872675