Search a number
-
+
71376064 = 26173227
BaseRepresentation
bin1000100000100…
…01110011000000
311222022021112221
410100101303000
5121233013224
611025500424
71524454324
oct420216300
9158267487
1071376064
1137320991
121baa1714
1311a30c76
14969d984
1563ed6e4
hex4411cc0

71376064 has 56 divisors (see below), whose sum is σ = 151150320. Its totient is φ = 33440768.

The previous prime is 71376059. The next prime is 71376077. The reversal of 71376064 is 46067317.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314319 + ... + 314545.

Almost surely, 271376064 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 71376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75575160).

71376064 is an abundant number, since it is smaller than the sum of its proper divisors (79774256).

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

71376064 is an equidigital number, since it uses as much as digits as its factorization.

71376064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 71376064 is about 8448.4355948306. The cubic root of 71376064 is about 414.8115736267.

The spelling of 71376064 in words is "seventy-one million, three hundred seventy-six thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 227 272 289 454 544 578 908 1088 1156 1816 2312 3632 3859 4624 4913 7264 7718 9248 9826 14528 15436 18496 19652 30872 39304 61744 65603 78608 123488 131206 157216 246976 262412 314432 524824 1049648 1115251 2099296 2230502 4198592 4461004 8922008 17844016 35688032 71376064