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71196672 = 21332897
BaseRepresentation
bin1000011111001…
…10000000000000
311221222011110210
410033212000000
5121211243142
611021554120
71523106321
oct417460000
9157864423
1071196672
1137209128
121ba15940
131199a411
149654448
1563b549c
hex43e6000

71196672 has 56 divisors (see below), whose sum is σ = 189911736. Its totient is φ = 23724032.

The previous prime is 71196659. The next prime is 71196673. The reversal of 71196672 is 27669117.

It is a super-2 number, since 2×711966722 = 10137932207751168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71196672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71196673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23128 + ... + 26024.

It is an arithmetic number, because the mean of its divisors is an integer number (3391281).

Almost surely, 271196672 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 71196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94955868).

71196672 is an abundant number, since it is smaller than the sum of its proper divisors (118715064).

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

71196672 is an equidigital number, since it uses as much as digits as its factorization.

71196672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2902 counting only the distinct ones).

The product of its digits is 31752, while the sum is 39.

The square root of 71196672 is about 8437.8120386745. The cubic root of 71196672 is about 414.4637618479.

The spelling of 71196672 in words is "seventy-one million, one hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 2897 3072 4096 5794 6144 8192 8691 11588 12288 17382 23176 24576 34764 46352 69528 92704 139056 185408 278112 370816 556224 741632 1112448 1483264 2224896 2966528 4449792 5933056 8899584 11866112 17799168 23732224 35598336 71196672