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71427150 = 23352157337
BaseRepresentation
bin1000100000111…
…10010001001110
311222101212122000
410100132101032
5121241132100
611030533130
71525056264
oct420362116
9158355560
1071427150
1137356303
121bb071a6
1311a4b2b2
1496b4434
15640d900
hex441e44e

71427150 has 96 divisors (see below), whose sum is σ = 198662880. Its totient is φ = 18869760.

The previous prime is 71427133. The next prime is 71427151. The reversal of 71427150 is 5172417.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71427151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211782 + ... + 212118.

It is an arithmetic number, because the mean of its divisors is an integer number (2069405).

Almost surely, 271427150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71427150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99331440).

71427150 is an abundant number, since it is smaller than the sum of its proper divisors (127235730).

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

71427150 is a wasteful number, since it uses less digits than its factorization.

71427150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 71427150 is about 8451.4584540185. The cubic root of 71427150 is about 414.9105144069.

Adding to 71427150 its reverse (5172417), we get a palindrome (76599567).

The spelling of 71427150 in words is "seventy-one million, four hundred twenty-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 157 225 270 314 337 450 471 674 675 785 942 1011 1350 1413 1570 1685 2022 2355 2826 3033 3370 3925 4239 4710 5055 6066 7065 7850 8425 8478 9099 10110 11775 14130 15165 16850 18198 21195 23550 25275 30330 35325 42390 45495 50550 52909 70650 75825 90990 105818 105975 151650 158727 211950 227475 264545 317454 454950 476181 529090 793635 952362 1322725 1428543 1587270 2380905 2645450 2857086 3968175 4761810 7142715 7936350 11904525 14285430 23809050 35713575 71427150