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71745780 = 223517312269
BaseRepresentation
bin1000100011011…
…00000011110100
312000000001201010
410101230003310
5121331331110
611041432220
71530554241
oct421540364
9160001633
1071745780
1137553737
122003b670
1311b30332
1497585c8
156473020
hex446c0f4

71745780 has 96 divisors (see below), whose sum is σ = 219663360. Its totient is φ = 17418240.

The previous prime is 71745761. The next prime is 71745799. The reversal of 71745780 is 8754717.

It is an interprime number because it is at equal distance from previous prime (71745761) and next prime (71745799).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30486 + ... + 32754.

It is an arithmetic number, because the mean of its divisors is an integer number (2288160).

Almost surely, 271745780 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 71745780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109831680).

71745780 is an abundant number, since it is smaller than the sum of its proper divisors (147917580).

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

71745780 is a wasteful number, since it uses less digits than its factorization.

71745780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 71745780 is about 8470.2880706621. The cubic root of 71745780 is about 415.5265585917.

The spelling of 71745780 in words is "seventy-one million, seven hundred forty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 1020 1054 1581 1860 2108 2269 2635 3162 4538 5270 6324 6807 7905 9076 10540 11345 13614 15810 22690 27228 31620 34035 38573 45380 68070 70339 77146 115719 136140 140678 154292 192865 211017 231438 281356 351695 385730 422034 462876 578595 703390 771460 844068 1055085 1157190 1195763 1406780 2110170 2314380 2391526 3587289 4220340 4783052 5978815 7174578 11957630 14349156 17936445 23915260 35872890 71745780