Search a number
-
+
71439810 = 235131931311
BaseRepresentation
bin1000100001000…
…01010111000010
311222102111222220
410100201113002
5121242033220
611031111510
71525141221
oct420412702
9158374886
1071439810
1137364872
121bb12596
1311a53ca0
1496b8cb8
156412540
hex44215c2

71439810 has 128 divisors (see below), whose sum is σ = 201277440. Its totient is φ = 16070400.

The previous prime is 71439793. The next prime is 71439811. The reversal of 71439810 is 1893417.

It is a super-2 number, since 2×714398102 = 10207292905672200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (71439811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229555 + ... + 229865.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 271439810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71439810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100638720).

71439810 is an abundant number, since it is smaller than the sum of its proper divisors (129837630).

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

71439810 is a wasteful number, since it uses less digits than its factorization.

71439810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384.

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 71439810 is about 8452.2074039863. The cubic root of 71439810 is about 414.9350263597.

The spelling of 71439810 in words is "seventy-one million, four hundred thirty-nine thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 31 38 39 57 62 65 78 93 95 114 130 155 186 190 195 247 285 310 311 390 403 465 494 570 589 622 741 806 930 933 1178 1209 1235 1482 1555 1767 1866 2015 2418 2470 2945 3110 3534 3705 4030 4043 4665 5890 5909 6045 7410 7657 8086 8835 9330 9641 11818 12090 12129 15314 17670 17727 19282 20215 22971 24258 28923 29545 35454 38285 40430 45942 48205 57846 59090 60645 76570 76817 88635 96410 114855 121290 125333 144615 153634 177270 183179 229710 230451 250666 289230 366358 375999 384085 460902 549537 626665 751998 768170 915895 1099074 1152255 1253330 1831790 1879995 2304510 2381327 2747685 3759990 4762654 5495370 7143981 11906635 14287962 23813270 35719905 71439810