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71449840 = 24572111657
BaseRepresentation
bin1000100001000…
…11110011110000
311222110000202101
410100203303300
5121242343330
611031230144
71525212400
oct420436360
9158400671
1071449840
1137371360
121bb18354
1311a58717
1496bc800
1564154ca
hex4423cf0

71449840 has 120 divisors (see below), whose sum is σ = 210937392. Its totient is φ = 22256640.

The previous prime is 71449837. The next prime is 71449841. The reversal of 71449840 is 4894417.

It is a self number, because there is not a number n which added to its sum of digits gives 71449840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71449841) 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 23 ways as a sum of consecutive naturals, for example, 42292 + ... + 43948.

Almost surely, 271449840 is an apocalyptic number.

71449840 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 71449840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105468696).

71449840 is an abundant number, since it is smaller than the sum of its proper divisors (139487552).

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

71449840 is a wasteful number, since it uses less digits than its factorization.

71449840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 71449840 is about 8452.8007192883. The cubic root of 71449840 is about 414.9544441212.

The spelling of 71449840 in words is "seventy-one million, four hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 176 196 220 245 280 308 385 392 440 490 539 560 616 770 784 880 980 1078 1232 1540 1657 1960 2156 2695 3080 3314 3920 4312 5390 6160 6628 8285 8624 10780 11599 13256 16570 18227 21560 23198 26512 33140 36454 43120 46396 57995 66280 72908 81193 91135 92792 115990 127589 132560 145816 162386 182270 185584 231980 255178 291632 324772 364540 405965 463960 510356 637945 649544 729080 811930 893123 927920 1020712 1275890 1299088 1458160 1623860 1786246 2041424 2551780 3247720 3572492 4465615 5103560 6495440 7144984 8931230 10207120 14289968 17862460 35724920 71449840