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71534320 = 2451113337
BaseRepresentation
bin1000100001110…
…00011011110000
311222121022122021
410100320123300
5121303044240
611033121224
71526013604
oct420703360
9158538567
1071534320
1137419880
121bb59214
1311a88000
149701504
15643054a
hex44386f0

71534320 has 160 divisors (see below), whose sum is σ = 201862080. Its totient is φ = 23362560.

The previous prime is 71534303. The next prime is 71534321. The reversal of 71534320 is 2343517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71534321) 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, 1933342 + ... + 1933378.

It is an arithmetic number, because the mean of its divisors is an integer number (1261638).

Almost surely, 271534320 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 71534320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100931040).

71534320 is an abundant number, since it is smaller than the sum of its proper divisors (130327760).

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

71534320 is a wasteful number, since it uses less digits than its factorization.

71534320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 71534320 is about 8457.7964033192. The cubic root of 71534320 is about 415.1179226510.

Adding to 71534320 its reverse (2343517), we get a palindrome (73877837).

The spelling of 71534320 in words is "seventy-one million, five hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 37 40 44 52 55 65 74 80 88 104 110 130 143 148 169 176 185 208 220 260 286 296 338 370 407 440 481 520 572 592 676 715 740 814 845 880 962 1040 1144 1352 1430 1480 1628 1690 1859 1924 2035 2197 2288 2405 2704 2860 2960 3256 3380 3718 3848 4070 4394 4810 5291 5720 6253 6512 6760 7436 7696 8140 8788 9295 9620 10582 10985 11440 12506 13520 14872 16280 17576 18590 19240 21164 21970 24167 25012 26455 29744 31265 32560 35152 37180 38480 42328 43940 48334 50024 52910 62530 68783 74360 81289 84656 87880 96668 100048 105820 120835 125060 137566 148720 162578 175760 193336 211640 241670 250120 275132 325156 343915 386672 406445 423280 483340 500240 550264 650312 687830 812890 894179 966680 1100528 1300624 1375660 1625780 1788358 1933360 2751320 3251560 3576716 4470895 5502640 6503120 7153432 8941790 14306864 17883580 35767160 71534320