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71430240 = 2535723037
BaseRepresentation
bin1000100000111…
…11000001100000
311222102000212110
410100133001200
5121241231430
611030555320
71525101300
oct420370140
9158360773
1071430240
1137358662
121bb08b40
1311a4c81b
1496b5600
15640e7b0
hex441f060

71430240 has 144 divisors (see below), whose sum is σ = 261826992. Its totient is φ = 16321536.

The previous prime is 71430221. The next prime is 71430257. The reversal of 71430240 is 4203417.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22002 + ... + 25038.

It is an arithmetic number, because the mean of its divisors is an integer number (1818243).

Almost surely, 271430240 is an apocalyptic number.

71430240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130913496).

71430240 is an abundant number, since it is smaller than the sum of its proper divisors (190396752).

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

71430240 is a wasteful number, since it uses less digits than its factorization.

71430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 71430240 is about 8451.6412607256. The cubic root of 71430240 is about 414.9164974493.

Adding to 71430240 its reverse (4203417), we get a palindrome (75633657).

The spelling of 71430240 in words is "seventy-one million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3037 3360 3920 4704 5880 6074 7840 9111 11760 12148 15185 18222 21259 23520 24296 30370 36444 42518 45555 48592 60740 63777 72888 85036 91110 97184 106295 121480 127554 145776 148813 170072 182220 212590 242960 255108 291552 297626 318885 340144 364440 425180 446439 485920 510216 595252 637770 680288 728880 744065 850360 892878 1020432 1190504 1275540 1457760 1488130 1700720 1785756 2040864 2232195 2381008 2551080 2976260 3401440 3571512 4464390 4762016 5102160 5952520 7143024 8928780 10204320 11905040 14286048 17857560 23810080 35715120 71430240