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71278740 = 223251383367
BaseRepresentation
bin1000011111110…
…10000010010100
311222010100001100
410033322002110
5121221404430
611023430100
71523600511
oct417720224
9158110040
1071278740
1137264855
121ba55330
13119c8890
149676308
1563ce960
hex43fa094

71278740 has 144 divisors (see below), whose sum is σ = 236291328. Its totient is φ = 17286912.

The previous prime is 71278699. The next prime is 71278789. The reversal of 71278740 is 4787217.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71278695 and 71278704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194037 + ... + 194403.

It is an arithmetic number, because the mean of its divisors is an integer number (1640912).

Almost surely, 271278740 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 71278740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118145664).

71278740 is an abundant number, since it is smaller than the sum of its proper divisors (165012588).

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

71278740 is a wasteful number, since it uses less digits than its factorization.

71278740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 71278740 is about 8442.6737471017. The cubic root of 71278740 is about 414.6229507074.

The spelling of 71278740 in words is "seventy-one million, two hundred seventy-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 83 90 117 130 156 166 180 195 234 249 260 332 367 390 415 468 498 585 734 747 780 830 996 1079 1101 1170 1245 1468 1494 1660 1835 2158 2202 2340 2490 2988 3237 3303 3670 3735 4316 4404 4771 4980 5395 5505 6474 6606 7340 7470 9542 9711 10790 11010 12948 13212 14313 14940 16185 16515 19084 19422 21580 22020 23855 28626 30461 32370 33030 38844 42939 47710 48555 57252 60922 64740 66060 71565 85878 91383 95420 97110 121844 143130 152305 171756 182766 194220 214695 274149 286260 304610 365532 395993 429390 456915 548298 609220 791986 858780 913830 1096596 1187979 1370745 1583972 1827660 1979965 2375958 2741490 3563937 3959930 4751916 5482980 5939895 7127874 7919860 11879790 14255748 17819685 23759580 35639370 71278740