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71407260 = 223253167191
BaseRepresentation
bin1000100000110…
…01011010011100
311222100212100100
410100121122130
5121240013020
611030301100
71524644301
oct420313234
9158325310
1071407260
1137342371
121bab7790
1311a42222
1496ab0a8
156407a90
hex441969c

71407260 has 144 divisors (see below), whose sum is σ = 228114432. Its totient is φ = 18057600.

The previous prime is 71407247. The next prime is 71407283. The reversal of 71407260 is 6270417.

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 47 ways as a sum of consecutive naturals, for example, 373765 + ... + 373955.

It is an arithmetic number, because the mean of its divisors is an integer number (1584128).

Almost surely, 271407260 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 71407260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114057216).

71407260 is an abundant number, since it is smaller than the sum of its proper divisors (156707172).

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

71407260 is a wasteful number, since it uses less digits than its factorization.

71407260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 71407260 is about 8450.2816521108. The cubic root of 71407260 is about 414.8719980711.

Adding to 71407260 its reverse (6270417), we get a palindrome (77677677).

It can be divided in two parts, 7140 and 7260, that added together give a square (14400 = 1202).

The spelling of 71407260 in words is "seventy-one million, four hundred seven thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 67 90 93 124 134 155 180 186 191 201 268 279 310 335 372 382 402 465 558 573 603 620 670 764 804 930 955 1005 1116 1146 1206 1340 1395 1719 1860 1910 2010 2077 2292 2412 2790 2865 3015 3438 3820 4020 4154 5580 5730 5921 6030 6231 6876 8308 8595 10385 11460 11842 12060 12462 12797 17190 17763 18693 20770 23684 24924 25594 29605 31155 34380 35526 37386 38391 41540 51188 53289 59210 62310 63985 71052 74772 76782 88815 93465 106578 115173 118420 124620 127970 153564 177630 186930 191955 213156 230346 255940 266445 355260 373860 383910 396707 460692 532890 575865 767820 793414 1065780 1151730 1190121 1586828 1983535 2303460 2380242 3570363 3967070 4760484 5950605 7140726 7934140 11901210 14281452 17851815 23802420 35703630 71407260