Search a number
-
+
71450316 = 22337293259
BaseRepresentation
bin1000100001000…
…11111011001100
311222110001102000
410100203323030
5121242402231
611031232300
71525213650
oct420437314
9158401360
1071450316
1137371753
121bb18690
1311a589c2
1496bca60
1564156e6
hex4423ecc

71450316 has 96 divisors (see below), whose sum is σ = 219072000. Its totient is φ = 19704384.

The previous prime is 71450311. The next prime is 71450333. The reversal of 71450316 is 61305417.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 71450316.

It is not an unprimeable number, because it can be changed into a prime (71450311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20295 + ... + 23553.

It is an arithmetic number, because the mean of its divisors is an integer number (2282000).

Almost surely, 271450316 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 71450316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109536000).

71450316 is an abundant number, since it is smaller than the sum of its proper divisors (147621684).

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

71450316 is a wasteful number, since it uses less digits than its factorization.

71450316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 71450316 is about 8452.8288755895. The cubic root of 71450316 is about 414.9553655969.

The spelling of 71450316 in words is "seventy-one million, four hundred fifty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 1044 1218 1566 1827 2436 3132 3259 3654 5481 6518 7308 9777 10962 13036 19554 21924 22813 29331 39108 45626 58662 68439 87993 91252 94511 117324 136878 175986 189022 205317 273756 283533 351972 378044 410634 567066 615951 661577 821268 850599 1134132 1231902 1323154 1701198 1984731 2463804 2551797 2646308 3402396 3969462 5103594 5954193 7938924 10207188 11908386 17862579 23816772 35725158 71450316