Search a number
-
+
71671520 = 2551034349
BaseRepresentation
bin1000100010110…
…01111011100000
311222212021211202
410101121323200
5121321442040
611040100332
71530124604
oct421317340
9158767752
1071671520
1137502968
12200046a8
1311b055ab
149739504
15645b015
hex4459ee0

71671520 has 48 divisors (see below), whose sum is σ = 171007200. Its totient is φ = 28383744.

The previous prime is 71671517. The next prime is 71671547. The reversal of 71671520 is 2517617.

It is a super-2 number, since 2×716715202 = 10273613558220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14306 + ... + 18654.

It is an arithmetic number, because the mean of its divisors is an integer number (3562650).

Almost surely, 271671520 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 71671520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85503600).

71671520 is an abundant number, since it is smaller than the sum of its proper divisors (99335680).

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

71671520 is a wasteful number, since it uses less digits than its factorization.

71671520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 71671520 is about 8465.9033776674. The cubic root of 71671520 is about 415.3831464195.

The spelling of 71671520 in words is "seventy-one million, six hundred seventy-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1648 2060 3296 4120 4349 8240 8698 16480 17396 21745 34792 43490 69584 86980 139168 173960 347920 447947 695840 895894 1791788 2239735 3583576 4479470 7167152 8958940 14334304 17917880 35835760 71671520