Search a number
-
+
71460816 = 24372231321
BaseRepresentation
bin1000100001001…
…10011111010000
311222110120210220
410100212133100
5121243221231
611031353040
71525256400
oct420463720
9158416726
1071460816
1137379629
121bb22780
1311a6070b
1496c2800
156418896
hex44267d0

71460816 has 120 divisors (see below), whose sum is σ = 224253504. Its totient is φ = 19514880.

The previous prime is 71460799. The next prime is 71460817. The reversal of 71460816 is 61806417.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71460817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53436 + ... + 54756.

Almost surely, 271460816 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 71460816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112126752).

71460816 is an abundant number, since it is smaller than the sum of its proper divisors (152792688).

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

71460816 is a wasteful number, since it uses less digits than its factorization.

71460816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 71460816 is about 8453.4499466194. The cubic root of 71460816 is about 414.9756912263.

The spelling of 71460816 in words is "seventy-one million, four hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 392 483 552 588 644 784 966 1104 1127 1176 1288 1321 1932 2254 2352 2576 2642 3381 3864 3963 4508 5284 6762 7728 7926 9016 9247 10568 13524 15852 18032 18494 21136 27048 27741 30383 31704 36988 54096 55482 60766 63408 64729 73976 91149 110964 121532 129458 147952 182298 194187 212681 221928 243064 258916 364596 388374 425362 443856 486128 517832 638043 729192 776748 850724 1035664 1276086 1458384 1488767 1553496 1701448 2552172 2977534 3106992 3402896 4466301 5104344 5955068 8932602 10208688 11910136 17865204 23820272 35730408 71460816