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71481040 = 24519313741
BaseRepresentation
bin1000100001010…
…11011011010000
311222111121112221
410100223123100
5121244343130
611032030424
71525402351
oct420533320
9158447487
1071481040
1137392844
121bb32414
1311a69997
1496c9d28
15641e87a
hex442b6d0

71481040 has 160 divisors (see below), whose sum is σ = 189987840. Its totient is φ = 24883200.

The previous prime is 71481023. The next prime is 71481043. The reversal of 71481040 is 4018417.

It is a junction number, because it is equal to n+sod(n) for n = 71480996 and 71481014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71481043) by changing a digit.

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, 1743420 + ... + 1743460.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 271481040 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 71481040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

71481040 is an abundant number, since it is smaller than the sum of its proper divisors (118506800).

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

71481040 is a wasteful number, since it uses less digits than its factorization.

71481040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 71481040 is about 8454.6460600075. The cubic root of 71481040 is about 415.0148347143.

Adding to 71481040 its reverse (4018417), we get a palindrome (75499457).

The spelling of 71481040 in words is "seventy-one million, four hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 37 38 40 41 62 74 76 80 82 95 124 148 152 155 164 185 190 205 248 296 304 310 328 370 380 410 496 589 592 620 656 703 740 760 779 820 1147 1178 1240 1271 1406 1480 1517 1520 1558 1640 2294 2356 2480 2542 2812 2945 2960 3034 3116 3280 3515 3895 4588 4712 5084 5624 5735 5890 6068 6232 6355 7030 7585 7790 9176 9424 10168 11248 11470 11780 12136 12464 12710 14060 15170 15580 18352 20336 21793 22940 23560 24149 24272 25420 28120 28823 30340 31160 43586 45880 47027 47120 48298 50840 56240 57646 60680 62320 87172 91760 94054 96596 101680 108965 115292 120745 121360 144115 174344 188108 193192 217930 230584 235135 241490 288230 348688 376216 386384 435860 461168 470270 482980 576460 752432 871720 893513 940540 965960 1152920 1743440 1787026 1881080 1931920 2305840 3574052 3762160 4467565 7148104 8935130 14296208 17870260 35740520 71481040