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127778130 = 232510114057
BaseRepresentation
bin1111001110110…
…11110101010010
322220102210122100
413213123311102
5230202400010
620402421230
73111044664
oct747336522
9286383570
10127778130
1166144667
1236961816
132061b37c
1412d82534
15b3402c0
hex79dbd52

127778130 has 48 divisors (see below), whose sum is σ = 335536344. Its totient is φ = 33734400.

The previous prime is 127778117. The next prime is 127778141. The reversal of 127778130 is 31877721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 101183481 + 26594649 = 10059^2 + 5157^2 .

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 2062 + ... + 16118.

Almost surely, 2127778130 is an apocalyptic number.

127778130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127778130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167768172).

127778130 is an abundant number, since it is smaller than the sum of its proper divisors (207758214).

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

127778130 is a wasteful number, since it uses less digits than its factorization.

127778130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14171 (or 14168 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 127778130 is about 11303.8988848981. The cubic root of 127778130 is about 503.6770654239.

The spelling of 127778130 in words is "one hundred twenty-seven million, seven hundred seventy-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 14057 28114 42171 70285 84342 126513 140570 210855 253026 421710 632565 1265130 1419757 2839514 4259271 7098785 8518542 12777813 14197570 21296355 25555626 42592710 63889065 127778130