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71485980 = 22351973859
BaseRepresentation
bin1000100001011…
…00101000011100
311222111212022220
410100230220130
5121300022410
611032105340
71525422636
oct420545034
9158455286
1071485980
1137396525
121bb35250
1311a6bcc7
1496cba56
156421070
hex442ca1c

71485980 has 96 divisors (see below), whose sum is σ = 213830400. Its totient is φ = 17791488.

The previous prime is 71485979. The next prime is 71485987. The reversal of 71485980 is 8958417.

It is a super-2 number, since 2×714859802 = 10220490673120800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71485987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82791 + ... + 83649.

It is an arithmetic number, because the mean of its divisors is an integer number (2227400).

Almost surely, 271485980 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 71485980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106915200).

71485980 is an abundant number, since it is smaller than the sum of its proper divisors (142344420).

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

71485980 is a wasteful number, since it uses less digits than its factorization.

71485980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 71485980 is about 8454.9382020213. The cubic root of 71485980 is about 415.0243949467.

The spelling of 71485980 in words is "seventy-one million, four hundred eighty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 73 76 95 114 146 190 219 228 285 292 365 380 438 570 730 859 876 1095 1140 1387 1460 1718 2190 2577 2774 3436 4161 4295 4380 5154 5548 6935 8322 8590 10308 12885 13870 16321 16644 17180 20805 25770 27740 32642 41610 48963 51540 62707 65284 81605 83220 97926 125414 163210 188121 195852 244815 250828 313535 326420 376242 489630 627070 752484 940605 979260 1191433 1254140 1881210 2382866 3574299 3762420 4765732 5957165 7148598 11914330 14297196 17871495 23828660 35742990 71485980