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71049900 = 22352475039
BaseRepresentation
bin1000011110000…
…10001010101100
311221200201010210
410033002022230
5121142044100
611014502420
71521625365
oct417021254
9157621123
1071049900
1137118929
121b964a10
131194867c
149616b6c
156386c50
hex43c22ac

71049900 has 72 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 18539840.

The previous prime is 71049887. The next prime is 71049917. The reversal of 71049900 is 994017.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11581 + ... + 16619.

It is an arithmetic number, because the mean of its divisors is an integer number (2916480).

Almost surely, 271049900 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 71049900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

71049900 is an abundant number, since it is smaller than the sum of its proper divisors (138936660).

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

71049900 is a wasteful number, since it uses less digits than its factorization.

71049900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 71049900 is about 8429.1102733325. The cubic root of 71049900 is about 414.1787601149.

The spelling of 71049900 in words is "seventy-one million, forty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 5039 7050 10078 14100 15117 20156 25195 30234 50390 60468 75585 100780 125975 151170 236833 251950 302340 377925 473666 503900 710499 755850 947332 1184165 1420998 1511700 2368330 2841996 3552495 4736660 5920825 7104990 11841650 14209980 17762475 23683300 35524950 71049900