Search a number
-
+
71354064 = 2433179607
BaseRepresentation
bin1000100000011…
…00011011010000
311222021011101010
410100030123100
5121231312224
611025210520
71524333225
oct420143320
9158234333
1071354064
1137306401
121ba90a40
1311a23c52
14969594c
1563e6e29
hex440c6d0

71354064 has 80 divisors (see below), whose sum is σ = 193003520. Its totient is φ = 22688640.

The previous prime is 71354051. The next prime is 71354099. The reversal of 71354064 is 46045317.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117249 + ... + 117855.

It is an arithmetic number, because the mean of its divisors is an integer number (2412544).

Almost surely, 271354064 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 71354064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96501760).

71354064 is an abundant number, since it is smaller than the sum of its proper divisors (121649456).

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

71354064 is a wasteful number, since it uses less digits than its factorization.

71354064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 71354064 is about 8447.1334782872. The cubic root of 71354064 is about 414.7689505965.

The spelling of 71354064 in words is "seventy-one million, three hundred fifty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 79 93 124 158 186 237 248 316 372 474 496 607 632 744 948 1214 1264 1488 1821 1896 2428 2449 3642 3792 4856 4898 7284 7347 9712 9796 14568 14694 18817 19592 29136 29388 37634 39184 47953 56451 58776 75268 95906 112902 117552 143859 150536 191812 225804 287718 301072 383624 451608 575436 767248 903216 1150872 1486543 2301744 2973086 4459629 5946172 8919258 11892344 17838516 23784688 35677032 71354064