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127242198 = 23329193421
BaseRepresentation
bin1111001010110…
…00111111010110
322212102120111000
413211120333112
5230033222243
620343124130
73103353336
oct745307726
9285376430
10127242198
1165908a46
1236743646
1320491455
1412c830c6
15b2865d3
hex7958fd6

127242198 has 64 divisors (see below), whose sum is σ = 294724800. Its totient is φ = 40642560.

The previous prime is 127242119. The next prime is 127242253. The reversal of 127242198 is 891242721.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302028 + ... + 302448.

It is an arithmetic number, because the mean of its divisors is an integer number (4605075).

Almost surely, 2127242198 is an apocalyptic number.

127242198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127242198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147362400).

127242198 is an abundant number, since it is smaller than the sum of its proper divisors (167482602).

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

127242198 is a wasteful number, since it uses less digits than its factorization.

127242198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 127242198 is about 11280.1683498076. The cubic root of 127242198 is about 502.9718979803.

The spelling of 127242198 in words is "one hundred twenty-seven million, two hundred forty-two thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 193 261 386 421 522 579 783 842 1158 1263 1566 1737 2526 3474 3789 5211 5597 7578 10422 11194 11367 12209 16791 22734 24418 33582 36627 50373 73254 81253 100746 109881 151119 162506 219762 243759 302238 329643 487518 659286 731277 1462554 2193831 2356337 4387662 4712674 7069011 14138022 21207033 42414066 63621099 127242198