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71214420 = 22357173229
BaseRepresentation
bin1000011111010…
…10010101010100
311222000001211010
410033222111110
5121212330140
611022212220
71523212134
oct417522524
9158001733
1071214420
11372204a2
121ba24070
13119a5514
14965aac4
1563ba880
hex43ea554

71214420 has 96 divisors (see below), whose sum is σ = 205873920. Its totient is φ = 18385920.

The previous prime is 71214419. The next prime is 71214427. The reversal of 71214420 is 2441217.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71214427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310866 + ... + 311094.

It is an arithmetic number, because the mean of its divisors is an integer number (2144520).

Almost surely, 271214420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102936960).

71214420 is an abundant number, since it is smaller than the sum of its proper divisors (134659500).

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

71214420 is a wasteful number, since it uses less digits than its factorization.

71214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 71214420 is about 8438.8636675799. The cubic root of 71214420 is about 414.4981983437.

Adding to 71214420 its reverse (2441217), we get a palindrome (73655637).

The spelling of 71214420 in words is "seventy-one million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 73 142 146 213 219 229 284 292 355 365 426 438 458 687 710 730 852 876 916 1065 1095 1145 1374 1420 1460 2130 2190 2290 2748 3435 4260 4380 4580 5183 6870 10366 13740 15549 16259 16717 20732 25915 31098 32518 33434 48777 50151 51830 62196 65036 66868 77745 81295 83585 97554 100302 103660 155490 162590 167170 195108 200604 243885 250755 310980 325180 334340 487770 501510 975540 1003020 1186907 2373814 3560721 4747628 5934535 7121442 11869070 14242884 17803605 23738140 35607210 71214420