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126921375 = 3253771227
BaseRepresentation
bin1111001000010…
…10101010011111
322211211021101200
413210022222133
5224442441000
620332210543
73100546110
oct744125237
9284737350
10126921375
11657099a9
1236609a53
13203ab409
1412bdc207
15b221500
hex790aa9f

126921375 has 96 divisors (see below), whose sum is σ = 266333184. Its totient is φ = 56952000.

The previous prime is 126921341. The next prime is 126921401. The reversal of 126921375 is 573129621.

126921375 is a `hidden beast` number, since 1 + 269 + 21 + 375 = 666.

It is not a de Polignac number, because 126921375 - 27 = 126921247 is a prime.

It is a super-2 number, since 2×1269213752 = 32218070863781250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 559012 + ... + 559238.

It is an arithmetic number, because the mean of its divisors is an integer number (2774304).

Almost surely, 2126921375 is an apocalyptic number.

126921375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126921375 is an abundant number, since it is smaller than the sum of its proper divisors (139411809).

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

126921375 is a wasteful number, since it uses less digits than its factorization.

126921375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 313 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 126921375 is about 11265.9387092244. The cubic root of 126921375 is about 502.5488183060.

The spelling of 126921375 in words is "one hundred twenty-six million, nine hundred twenty-one thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 71 75 105 125 175 213 225 227 315 355 375 497 525 639 681 875 1065 1125 1135 1491 1575 1589 1775 2043 2485 2625 3195 3405 4473 4767 5325 5675 7455 7875 7945 8875 10215 12425 14301 15975 16117 17025 22365 23835 26625 28375 37275 39725 48351 51075 62125 71505 79875 80585 85125 111825 112819 119175 145053 186375 198625 241755 255375 338457 357525 402925 559125 564095 595875 725265 1015371 1208775 1692285 1787625 2014625 2820475 3626325 5076855 6043875 8461425 14102375 18131625 25384275 42307125 126921375