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127553130 = 236517497
BaseRepresentation
bin1111001101001…
…00111001101010
322220000101000000
413212210321222
5230123200010
620353523430
73106120005
oct746447152
9286011000
10127553130
1166000611
1236873576
132056cb33
1412d2453c
15b2e87c0
hex79a4e6a

127553130 has 56 divisors (see below), whose sum is σ = 344255652. Its totient is φ = 34012224.

The previous prime is 127553117. The next prime is 127553141. The reversal of 127553130 is 31355721.

127553130 is a `hidden beast` number, since 127 + 5 + 531 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104714289 + 22838841 = 10233^2 + 4779^2 .

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 = 127553094 and 127553103.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1459 + ... + 16038.

Almost surely, 2127553130 is an apocalyptic number.

127553130 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 127553130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172127826).

127553130 is an abundant number, since it is smaller than the sum of its proper divisors (216702522).

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

127553130 is an equidigital number, since it uses as much as digits as its factorization.

127553130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17522 (or 17507 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 127553130 is about 11293.9421815414. The cubic root of 127553130 is about 503.3812560056.

The spelling of 127553130 in words is "one hundred twenty-seven million, five hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 17497 34994 52491 87485 104982 157473 174970 262455 314946 472419 524910 787365 944838 1417257 1574730 2362095 2834514 4251771 4724190 7086285 8503542 12755313 14172570 21258855 25510626 42517710 63776565 127553130