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127155132 = 2232132311813
BaseRepresentation
bin1111001010000…
…11101110111100
322212021011001100
413211003232330
5230022431012
620341213100
73102541446
oct745035674
9285234040
10127155132
1165859595
1236701190
1320460930
1412c5d496
15b26a8dc
hex7943bbc

127155132 has 72 divisors (see below), whose sum is σ = 361224864. Its totient is φ = 37420416.

The previous prime is 127155131. The next prime is 127155143. The reversal of 127155132 is 231551721.

127155132 is a `hidden beast` number, since 12 + 71 + 551 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 127155096 and 127155105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127155131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4858 + ... + 16670.

It is an arithmetic number, because the mean of its divisors is an integer number (5017012).

Almost surely, 2127155132 is an apocalyptic number.

127155132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127155132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180612432).

127155132 is an abundant number, since it is smaller than the sum of its proper divisors (234069732).

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

127155132 is a wasteful number, since it uses less digits than its factorization.

127155132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11859 (or 11854 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 127155132 is about 11276.3084384917. The cubic root of 127155132 is about 502.8571516043.

The spelling of 127155132 in words is "one hundred twenty-seven million, one hundred fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5382 10764 11813 23626 35439 47252 70878 106317 141756 153569 212634 271699 307138 425268 460707 543398 614276 815097 921414 1086796 1382121 1630194 1842828 2445291 2764242 3260388 3532087 4890582 5528484 7064174 9781164 10596261 14128348 21192522 31788783 42385044 63577566 127155132