Search a number
-
+
127434929 = 413432
BaseRepresentation
bin1111001100010…
…00000010110001
322212210100212012
413212020002301
5230110404204
620351212305
73105115256
oct746100261
9285710765
10127434929
1165a2a826
1236817095
132052b0ab
1412cd342d
15b2c376e
hex79880b1

127434929 has 12 divisors (see below), whose sum is σ = 133729092. Its totient is φ = 121435440.

The previous prime is 127434913. The next prime is 127434943. The reversal of 127434929 is 929434721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 24453025 + 102981904 = 4945^2 + 10148^2 .

It is not a de Polignac number, because 127434929 - 24 = 127434913 is a prime.

It is a super-2 number, since 2×1274349292 = 32479322258470082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

Its product of digits (108864) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127434529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2963582 + ... + 2963624.

It is an arithmetic number, because the mean of its divisors is an integer number (11144091).

Almost surely, 2127434929 is an apocalyptic number.

It is an amenable number.

127434929 is a deficient number, since it is larger than the sum of its proper divisors (6294163).

127434929 is an frugal number, since it uses more digits than its factorization.

127434929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 84 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 127434929 is about 11288.7080305941. The cubic root of 127434929 is about 503.2257167504.

Multiplying 127434929 by its sum of digits (41), we get a square (5224832089 = 722832).

127434929 divided by its sum of digits (41) gives a square (3108169 = 17632).

The spelling of 127434929 in words is "one hundred twenty-seven million, four hundred thirty-four thousand, nine hundred twenty-nine".

Divisors: 1 41 43 1681 1763 1849 68921 72283 75809 2963603 3108169 127434929