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71969436 = 223272113709
BaseRepresentation
bin1000100101000…
…10101010011100
312000102102111200
410102202222130
5121411010221
611050315500
71532505300
oct422425234
9160372450
1071969436
1137696780
1220128b90
1311bab086
1497b5d00
1564b9426
hex44a2a9c

71969436 has 108 divisors (see below), whose sum is σ = 230925240. Its totient is φ = 18688320.

The previous prime is 71969431. The next prime is 71969437. The reversal of 71969436 is 63496917.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 71969391 and 71969400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71969431) 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 35 ways as a sum of consecutive naturals, for example, 17550 + ... + 21258.

Almost surely, 271969436 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 71969436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115462620).

71969436 is an abundant number, since it is smaller than the sum of its proper divisors (158955804).

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

71969436 is a wasteful number, since it uses less digits than its factorization.

71969436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3732 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 71969436 is about 8483.4801820951. The cubic root of 71969436 is about 415.9578899066.

The spelling of 71969436 in words is "seventy-one million, nine hundred sixty-nine thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2772 3234 3709 4851 6468 7418 9702 11127 14836 19404 22254 25963 33381 40799 44508 51926 66762 77889 81598 103852 122397 133524 155778 163196 181741 233667 244794 285593 311556 363482 367191 467334 489588 545223 571186 726964 734382 856779 934668 1090446 1142372 1468764 1635669 1713558 1999151 2180892 2570337 3271338 3427116 3998302 5140674 5997453 6542676 7996604 10281348 11994906 17992359 23989812 35984718 71969436