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71336640 = 2635193911
BaseRepresentation
bin1000100000010…
…00001011000000
311222020021110210
410100020023000
5121230233030
611024554120
71524231354
oct420101300
9158207423
1071336640
11372a4301
121ba82940
1311a1903b
14968d464
1563e1bb0
hex44082c0

71336640 has 112 divisors (see below), whose sum is σ = 238475520. Its totient is φ = 18017280.

The previous prime is 71336609. The next prime is 71336651. The reversal of 71336640 is 4663317.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 71336598 and 71336607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16285 + ... + 20195.

Almost surely, 271336640 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 71336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119237760).

71336640 is an abundant number, since it is smaller than the sum of its proper divisors (167138880).

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

71336640 is a wasteful number, since it uses less digits than its factorization.

71336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 71336640 is about 8446.1020595302. The cubic root of 71336640 is about 414.7351869391.

Adding to 71336640 its reverse (4663317), we get a palindrome (75999957).

The spelling of 71336640 in words is "seventy-one million, three hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 3911 4560 6080 7822 9120 11733 15644 18240 19555 23466 31288 39110 46932 58665 62576 74309 78220 93864 117330 125152 148618 156440 187728 222927 234660 250304 297236 312880 371545 375456 445854 469320 594472 625760 743090 750912 891708 938640 1114635 1188944 1251520 1486180 1783416 1877280 2229270 2377888 2972360 3566832 3754560 4458540 4755776 5944720 7133664 8917080 11889440 14267328 17834160 23778880 35668320 71336640