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71058416 = 24111322389
BaseRepresentation
bin1000011110001…
…00001111110000
311221201010211012
410033010033300
5121142332131
611015010052
71521662252
oct417041760
9157633735
1071058416
1137124270
121b969928
131194c500
149619cd2
15638952b
hex43c43f0

71058416 has 60 divisors (see below), whose sum is σ = 162701640. Its totient is φ = 29802240.

The previous prime is 71058413. The next prime is 71058443. The reversal of 71058416 is 61485017.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71058413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28550 + ... + 30938.

It is an arithmetic number, because the mean of its divisors is an integer number (2711694).

Almost surely, 271058416 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 71058416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81350820).

71058416 is an abundant number, since it is smaller than the sum of its proper divisors (91643224).

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

71058416 is a wasteful number, since it uses less digits than its factorization.

71058416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 71058416 is about 8429.6154123424. The cubic root of 71058416 is about 414.1953071962.

The spelling of 71058416 in words is "seventy-one million, fifty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 169 176 208 286 338 572 676 1144 1352 1859 2288 2389 2704 3718 4778 7436 9556 14872 19112 26279 29744 31057 38224 52558 62114 105116 124228 210232 248456 341627 403741 420464 496912 683254 807482 1366508 1614964 2733016 3229928 4441151 5466032 6459856 8882302 17764604 35529208 71058416