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127134942 = 231121710301
BaseRepresentation
bin1111001001111…
…10110011011110
322212020010100120
413210332303132
5230021304232
620340535410
73102425544
oct744766336
9285203316
10127134942
1165845400
12366b1566
132045469c
1412c55d94
15b26492c
hex793ecde

127134942 has 48 divisors (see below), whose sum is σ = 295955856. Its totient is φ = 36256000.

The previous prime is 127134913. The next prime is 127134983. The reversal of 127134942 is 249431721.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7192 + ... + 17492.

It is an arithmetic number, because the mean of its divisors is an integer number (6165747).

Almost surely, 2127134942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127134942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147977928).

127134942 is an abundant number, since it is smaller than the sum of its proper divisors (168820914).

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

127134942 is a wasteful number, since it uses less digits than its factorization.

127134942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10345 (or 10334 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 127134942 is about 11275.4131631617. The cubic root of 127134942 is about 502.8305352365.

The spelling of 127134942 in words is "one hundred twenty-seven million, one hundred thirty-four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 1122 2057 4114 6171 10301 12342 20602 30903 61806 113311 175117 226622 339933 350234 525351 679866 1050702 1246421 1926287 2492842 3739263 3852574 5778861 7478526 11557722 21189157 42378314 63567471 127134942