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71325440 = 285103541
BaseRepresentation
bin1000100000001…
…01011100000000
311222012201002222
410100011130000
5121224403230
611024430212
71524153614
oct420053400
9158181088
1071325440
113729694a
121ba78368
1311a13c04
149689344
1563dd6e5
hex4405700

71325440 has 72 divisors (see below), whose sum is σ = 172824288. Its totient is φ = 28200960.

The previous prime is 71325431. The next prime is 71325481. The reversal of 71325440 is 4452317.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131570 + ... + 132110.

Almost surely, 271325440 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 71325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86412144).

71325440 is an abundant number, since it is smaller than the sum of its proper divisors (101498848).

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

71325440 is a wasteful number, since it uses less digits than its factorization.

71325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 71325440 is about 8445.4390057593. The cubic root of 71325440 is about 414.7134810424.

Adding to 71325440 its reverse (4452317), we get a palindrome (75777757).

The spelling of 71325440 in words is "seventy-one million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 256 320 412 515 541 640 824 1030 1082 1280 1648 2060 2164 2705 3296 4120 4328 5410 6592 8240 8656 10820 13184 16480 17312 21640 26368 32960 34624 43280 55723 65920 69248 86560 111446 131840 138496 173120 222892 278615 346240 445784 557230 692480 891568 1114460 1783136 2228920 3566272 4457840 7132544 8915680 14265088 17831360 35662720 71325440