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71613440 = 210571197
BaseRepresentation
bin1000100010010…
…11110000000000
311222202100011122
410101023300000
5121313112230
611034531412
71526463353
oct421136000
9158670148
1071613440
1137473268
121bb96b68
1311ab5022
14972229a
156448be5
hex444bc00

71613440 has 88 divisors (see below), whose sum is σ = 175092192. Its totient is φ = 28098560.

The previous prime is 71613439. The next prime is 71613473. The reversal of 71613440 is 4431617.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363422 + ... + 363618.

It is an arithmetic number, because the mean of its divisors is an integer number (1989684).

Almost surely, 271613440 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 71613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87546096).

71613440 is an abundant number, since it is smaller than the sum of its proper divisors (103478752).

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

71613440 is a wasteful number, since it uses less digits than its factorization.

71613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 71613440 is about 8462.4724519493. The cubic root of 71613440 is about 415.2709122858.

It can be divided in two parts, 7161 and 3440, that added together give a palindrome (10601).

The spelling of 71613440 in words is "seventy-one million, six hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 197 256 284 320 355 394 512 568 640 710 788 985 1024 1136 1280 1420 1576 1970 2272 2560 2840 3152 3940 4544 5120 5680 6304 7880 9088 11360 12608 13987 15760 18176 22720 25216 27974 31520 36352 45440 50432 55948 63040 69935 72704 90880 100864 111896 126080 139870 181760 201728 223792 252160 279740 363520 447584 504320 559480 895168 1008640 1118960 1790336 2237920 3580672 4475840 7161344 8951680 14322688 17903360 35806720 71613440