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71414440 = 2353773661
BaseRepresentation
bin1000100000110…
…11001010101000
311222101020012021
410100123022220
5121240230230
611030354224
71525004236
oct420331250
9158336167
1071414440
11373477a9
121babb974
1311a45586
1496ad956
156409c7a
hex441b2a8

71414440 has 64 divisors (see below), whose sum is σ = 167538960. Its totient is φ = 27371520.

The previous prime is 71414419. The next prime is 71414449. The reversal of 71414440 is 4441417.

It can be written as a sum of positive squares in 8 ways, for example, as 58583716 + 12830724 = 7654^2 + 3582^2 .

It is not an unprimeable number, because it can be changed into a prime (71414449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107710 + ... + 108370.

Almost surely, 271414440 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 71414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83769480).

71414440 is an abundant number, since it is smaller than the sum of its proper divisors (96124520).

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

71414440 is a wasteful number, since it uses less digits than its factorization.

71414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 71414440 is about 8450.7064793424. The cubic root of 71414440 is about 414.8859027316.

Adding to 71414440 its reverse (4441417), we get a palindrome (75855857).

The spelling of 71414440 in words is "seventy-one million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 73 74 146 148 185 292 296 365 370 584 661 730 740 1322 1460 1480 2644 2701 2920 3305 5288 5402 6610 10804 13220 13505 21608 24457 26440 27010 48253 48914 54020 96506 97828 108040 122285 193012 195656 241265 244570 386024 482530 489140 965060 978280 1785361 1930120 3570722 7141444 8926805 14282888 17853610 35707220 71414440