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127131720 = 23352115021
BaseRepresentation
bin1111001001111…
…10000001001000
322212012221221020
413210332001020
5230021203340
620340512440
73102413262
oct744760110
9285187836
10127131720
1165842a41
12366ab720
1320453091
1412c54b32
15b2639d0
hex793e048

127131720 has 64 divisors (see below), whose sum is σ = 383279040. Its totient is φ = 33734400.

The previous prime is 127131709. The next prime is 127131721. The reversal of 127131720 is 27131721.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (127131721) 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, 22810 + ... + 27830.

It is an arithmetic number, because the mean of its divisors is an integer number (5988735).

Almost surely, 2127131720 is an apocalyptic number.

127131720 is a gapful number since it is divisible by the number (10) 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 127131720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191639520).

127131720 is an abundant number, since it is smaller than the sum of its proper divisors (256147320).

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

127131720 is a wasteful number, since it uses less digits than its factorization.

127131720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 127131720 is about 11275.2702850087. The cubic root of 127131720 is about 502.8262874306.

Subtracting from 127131720 its reverse (27131721), we obtain a palindrome (99999999).

The spelling of 127131720 in words is "one hundred twenty-seven million, one hundred thirty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 211 422 633 844 1055 1266 1688 2110 2532 3165 4220 5021 5064 6330 8440 10042 12660 15063 20084 25105 25320 30126 40168 50210 60252 75315 100420 120504 150630 200840 301260 602520 1059431 2118862 3178293 4237724 5297155 6356586 8475448 10594310 12713172 15891465 21188620 25426344 31782930 42377240 63565860 127131720