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127085148 = 223219185797
BaseRepresentation
bin1111001001100…
…10101001011100
322212010121001100
413210302221130
5230013211043
620335513100
73102130431
oct744625134
9285117040
10127085148
1165810a53
1236688790
1320437b18
1412c41b88
15b254cd3
hex7932a5c

127085148 has 36 divisors (see below), whose sum is σ = 338152360. Its totient is φ = 40131936.

The previous prime is 127085141. The next prime is 127085197. The reversal of 127085148 is 841580721.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127085141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92215 + ... + 93582.

Almost surely, 2127085148 is an apocalyptic number.

127085148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

127085148 is an abundant number, since it is smaller than the sum of its proper divisors (211067212).

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

127085148 is a wasteful number, since it uses less digits than its factorization.

127085148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185826 (or 185821 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 127085148 is about 11273.2048681819. The cubic root of 127085148 is about 502.7648800285.

The spelling of 127085148 in words is "one hundred twenty-seven million, eighty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 185797 371594 557391 743188 1114782 1672173 2229564 3344346 3530143 6688692 7060286 10590429 14120572 21180858 31771287 42361716 63542574 127085148