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127900134 = 2311192
BaseRepresentation
bin1111001111110…
…01100111100110
322220200000000000
413213321213212
5230220301014
620405202130
73112063455
oct747714746
9286600000
10127900134
116621829a
1236a00346
1320661a6b
1412db4b9c
15b366509
hex79f99e6

127900134 has 72 divisors (see below), whose sum is σ = 303717960. Its totient is φ = 40389516.

The previous prime is 127900127. The next prime is 127900139. The reversal of 127900134 is 431009721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 127900098 and 127900107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127900139) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6731577 + ... + 6731595.

It is an arithmetic number, because the mean of its divisors is an integer number (4218305).

Almost surely, 2127900134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127900134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151858980).

127900134 is an abundant number, since it is smaller than the sum of its proper divisors (175817826).

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

127900134 is an frugal number, since it uses more digits than its factorization.

127900134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 127900134 is about 11309.2941424299. The cubic root of 127900134 is about 503.8373199451.

Adding to 127900134 its reverse (431009721), we get a palindrome (558909855).

The spelling of 127900134 in words is "one hundred twenty-seven million, nine hundred thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 361 486 513 722 729 1026 1083 1458 1539 2166 2187 3078 3249 4374 4617 6498 6561 9234 9747 13122 13851 19494 19683 27702 29241 39366 41553 58482 59049 83106 87723 118098 124659 175446 177147 249318 263169 354294 373977 526338 747954 789507 1121931 1579014 2243862 2368521 3365793 4737042 6731586 7105563 14211126 21316689 42633378 63950067 127900134