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71114160 = 24351323991
BaseRepresentation
bin1000011110100…
…01110110110000
311221210222021210
410033101312300
5121201123120
611020120120
71522313625
oct417216660
9157728253
1071114160
1137162137
121b996040
131196b9b0
14963234c
15639ace0
hex43d1db0

71114160 has 160 divisors (see below), whose sum is σ = 247984128. Its totient is φ = 16727040.

The previous prime is 71114159. The next prime is 71114167. The reversal of 71114160 is 6141117.

It is not an unprimeable number, because it can be changed into a prime (71114167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71265 + ... + 72255.

Almost surely, 271114160 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 71114160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123992064).

71114160 is an abundant number, since it is smaller than the sum of its proper divisors (176869968).

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

71114160 is a wasteful number, since it uses less digits than its factorization.

71114160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 71114160 is about 8432.9212020509. The cubic root of 71114160 is about 414.3035883801.

Adding to 71114160 its reverse (6141117), we get a palindrome (77255277).

The spelling of 71114160 in words is "seventy-one million, one hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 39 40 46 48 52 60 65 69 78 80 92 104 115 120 130 138 156 184 195 208 230 240 260 276 299 312 345 368 390 460 520 552 598 624 690 780 897 920 991 1040 1104 1196 1380 1495 1560 1794 1840 1982 2392 2760 2973 2990 3120 3588 3964 4485 4784 4955 5520 5946 5980 7176 7928 8970 9910 11892 11960 12883 14352 14865 15856 17940 19820 22793 23784 23920 25766 29730 35880 38649 39640 45586 47568 51532 59460 64415 68379 71760 77298 79280 91172 103064 113965 118920 128830 136758 154596 182344 193245 206128 227930 237840 257660 273516 296309 309192 341895 364688 386490 455860 515320 547032 592618 618384 683790 772980 888927 911720 1030640 1094064 1185236 1367580 1481545 1545960 1777854 1823440 2370472 2735160 2963090 3091920 3555708 4444635 4740944 5470320 5926180 7111416 8889270 11852360 14222832 17778540 23704720 35557080 71114160