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71364546 = 232111392593
BaseRepresentation
bin1000100000011…
…10111111000010
311222021200202100
410100032333002
5121232131141
611025331230
71524405621
oct420167702
9158250670
1071364546
1137313270
121ba96b16
1311a28956
1496996b8
1563ea0b6
hex440efc2

71364546 has 48 divisors (see below), whose sum is σ = 169958880. Its totient is φ = 21461760.

The previous prime is 71364541. The next prime is 71364547. The reversal of 71364546 is 64546317.

It is a happy number.

71364546 is a `hidden beast` number, since 7 + 1 + 3 + 645 + 4 + 6 = 666.

It is a super-2 number, since 2×713645462 = 10185796851572232, 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 71364546.

It is not an unprimeable number, because it can be changed into a prime (71364541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26226 + ... + 28818.

It is an arithmetic number, because the mean of its divisors is an integer number (3540810).

Almost surely, 271364546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71364546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84979440).

71364546 is an abundant number, since it is smaller than the sum of its proper divisors (98594334).

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

71364546 is a wasteful number, since it uses less digits than its factorization.

71364546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2748 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 71364546 is about 8447.7539026655. The cubic root of 71364546 is about 414.7892596256.

The spelling of 71364546 in words is "seventy-one million, three hundred sixty-four thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 139 198 278 417 834 1251 1529 2502 2593 3058 4587 5186 7779 9174 13761 15558 23337 27522 28523 46674 57046 85569 171138 256707 360427 513414 720854 1081281 2162562 3243843 3964697 6487686 7929394 11894091 23788182 35682273 71364546