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127384152 = 23376711317
BaseRepresentation
bin1111001011110…
…11101001011000
322212200210012120
413211323221120
5230102243102
620350141240
73104514240
oct745735130
9285623176
10127384152
11659a5665
12367b1820
1320510c4c
1412cbcb20
15b2b36bc
hex797ba58

127384152 has 64 divisors (see below), whose sum is σ = 369419520. Its totient is φ = 35849088.

The previous prime is 127384139. The next prime is 127384157. The reversal of 127384152 is 251483721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127384157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5598 + ... + 16914.

It is an arithmetic number, because the mean of its divisors is an integer number (5772180).

Almost surely, 2127384152 is an apocalyptic number.

127384152 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 127384152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184709760).

127384152 is an abundant number, since it is smaller than the sum of its proper divisors (242035368).

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

127384152 is a wasteful number, since it uses less digits than its factorization.

127384152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11400 (or 11396 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 127384152 is about 11286.4587891863. The cubic root of 127384152 is about 503.1588703816.

The spelling of 127384152 in words is "one hundred twenty-seven million, three hundred eighty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 5628 11256 11317 22634 33951 45268 67902 79219 90536 135804 158438 237657 271608 316876 475314 633752 758239 950628 1516478 1901256 2274717 3032956 4549434 5307673 6065912 9098868 10615346 15923019 18197736 21230692 31846038 42461384 63692076 127384152