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127350216 = 23327236097
BaseRepresentation
bin1111001011100…
…11010111001000
322212122001122200
413211303113020
5230100201331
620345320200
73104313300
oct745632710
9285561580
10127350216
1165982114
1236796060
13204cb676
1412cb0600
15b2a85e6
hex79735c8

127350216 has 72 divisors (see below), whose sum is σ = 401229270. Its totient is φ = 36384768.

The previous prime is 127350211. The next prime is 127350227. The reversal of 127350216 is 612053721.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 122014116 + 5336100 = 11046^2 + 2310^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 127350216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127350211) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14521 + ... + 21576.

Almost surely, 2127350216 is an apocalyptic number.

It is an amenable number.

127350216 is an abundant number, since it is smaller than the sum of its proper divisors (273879054).

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

127350216 is a wasteful number, since it uses less digits than its factorization.

127350216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36123 (or 36109 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 127350216 is about 11284.9552945504. The cubic root of 127350216 is about 503.1141847707.

The spelling of 127350216 in words is "one hundred twenty-seven million, three hundred fifty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 36097 72194 108291 144388 216582 252679 288776 324873 433164 505358 649746 758037 866328 1010716 1299492 1516074 1768753 2021432 2274111 2598984 3032148 3537506 4548222 5306259 6064296 7075012 9096444 10612518 14150024 15918777 18192888 21225036 31837554 42450072 63675108 127350216