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71891712 = 28343467
BaseRepresentation
bin1000100100011…
…11101100000000
312000021110220000
410102033230000
5121401013322
611044520000
71532032554
oct422175400
9160243800
1071891712
1137643342
12200b0000
1311b81899
149795864
1564a13ac
hex448fb00

71891712 has 90 divisors (see below), whose sum is σ = 214429908. Its totient is φ = 23956992.

The previous prime is 71891711. The next prime is 71891719. The reversal of 71891712 is 21719817.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71891711) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19003 + ... + 22469.

Almost surely, 271891712 is an apocalyptic number.

71891712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71891712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107214954).

71891712 is an abundant number, since it is smaller than the sum of its proper divisors (142538196).

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

71891712 is an equidigital number, since it uses as much as digits as its factorization.

71891712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3472 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 71891712 is about 8478.8980416089. The cubic root of 71891712 is about 415.8080968920.

The spelling of 71891712 in words is "seventy-one million, eight hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 3467 5184 6912 6934 10368 10401 13868 20736 20802 27736 31203 41604 55472 62406 83208 93609 110944 124812 166416 187218 221888 249624 280827 332832 374436 443776 499248 561654 665664 748872 887552 998496 1123308 1331328 1497744 1996992 2246616 2662656 2995488 3993984 4493232 5990976 7987968 8986464 11981952 17972928 23963904 35945856 71891712