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71373640 = 23513294733
BaseRepresentation
bin1000100000100…
…01001101001000
311222022011020011
410100101031020
5121232424030
611025441304
71524444262
oct420211510
9158264204
1071373640
113731a088
121baa0234
1311a2cb30
14969cb32
1563ecb2a
hex4411348

71373640 has 64 divisors (see below), whose sum is σ = 178945200. Its totient is φ = 25439232.

The previous prime is 71373587. The next prime is 71373697. The reversal of 71373640 is 4637317.

It can be written as a sum of positive squares in 8 ways, for example, as 8678916 + 62694724 = 2946^2 + 7918^2 .

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, 12714 + ... + 17446.

Almost surely, 271373640 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 71373640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89472600).

71373640 is an abundant number, since it is smaller than the sum of its proper divisors (107571560).

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

71373640 is a wasteful number, since it uses less digits than its factorization.

71373640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 71373640 is about 8448.2921351004. The cubic root of 71373640 is about 414.8068777731.

The spelling of 71373640 in words is "seventy-one million, three hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3770 4733 7540 9466 15080 18932 23665 37864 47330 61529 94660 123058 137257 189320 246116 274514 307645 492232 549028 615290 686285 1098056 1230580 1372570 1784341 2461160 2745140 3568682 5490280 7137364 8921705 14274728 17843410 35686820 71373640