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71941960 = 23517472251
BaseRepresentation
bin1000100100110…
…11111101001000
312000101000211001
410102123331020
5121404120320
611045544344
71532332216
oct422337510
9160330731
1071941960
1137678072
12201150b4
1311b9b70c
1497a9cb6
1564b120a
hex449bf48

71941960 has 64 divisors (see below), whose sum is σ = 175115520. Its totient is φ = 26496000.

The previous prime is 71941937. The next prime is 71941963. The reversal of 71941960 is 6914917.

It is not an unprimeable number, because it can be changed into a prime (71941963) 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 15 ways as a sum of consecutive naturals, for example, 30835 + ... + 33085.

It is an arithmetic number, because the mean of its divisors is an integer number (2736180).

Almost surely, 271941960 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 71941960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87557760).

71941960 is an abundant number, since it is smaller than the sum of its proper divisors (103173560).

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

71941960 is a wasteful number, since it uses less digits than its factorization.

71941960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 71941960 is about 8481.8606449293. The cubic root of 71941960 is about 415.9049493144.

The spelling of 71941960 in words is "seventy-one million, nine hundred forty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 47 68 85 94 136 170 188 235 340 376 470 680 799 940 1598 1880 2251 3196 3995 4502 6392 7990 9004 11255 15980 18008 22510 31960 38267 45020 76534 90040 105797 153068 191335 211594 306136 382670 423188 528985 765340 846376 1057970 1530680 1798549 2115940 3597098 4231880 7194196 8992745 14388392 17985490 35970980 71941960