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71038890 = 23351337547
BaseRepresentation
bin1000011101111…
…11011110101010
311221200011001000
410032333132222
5121141221030
611014335430
71521551316
oct416773652
9157604030
1071038890
113711062a
121b95a576
1311943660
149612b46
156383860
hex43bf7aa

71038890 has 128 divisors (see below), whose sum is σ = 209905920. Its totient is φ = 16982784.

The previous prime is 71038883. The next prime is 71038901. The reversal of 71038890 is 9883017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129597 + ... + 130143.

It is an arithmetic number, because the mean of its divisors is an integer number (1639890).

Almost surely, 271038890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71038890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104952960).

71038890 is an abundant number, since it is smaller than the sum of its proper divisors (138867030).

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

71038890 is a wasteful number, since it uses less digits than its factorization.

71038890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 71038890 is about 8428.4571541890. The cubic root of 71038890 is about 414.1573650873.

The spelling of 71038890 in words is "seventy-one million, thirty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 37 39 45 54 65 74 78 90 111 117 130 135 185 195 222 234 270 333 351 370 390 481 547 555 585 666 702 962 999 1094 1110 1170 1443 1641 1665 1755 1998 2405 2735 2886 3282 3330 3510 4329 4810 4923 4995 5470 7111 7215 8205 8658 9846 9990 12987 14222 14430 14769 16410 20239 21333 21645 24615 25974 29538 35555 40478 42666 43290 49230 60717 63999 64935 71110 73845 101195 106665 121434 127998 129870 147690 182151 191997 202390 213330 263107 303585 319995 364302 383994 526214 546453 607170 639990 789321 910755 959985 1092906 1315535 1578642 1821510 1919970 2367963 2631070 2732265 3946605 4735926 5464530 7103889 7893210 11839815 14207778 23679630 35519445 71038890