Search a number
-
+
71593940 = 225112314149
BaseRepresentation
bin1000100010001…
…10111111010100
311222201100102102
410101012333110
5121312001230
611034301232
71526352455
oct421067724
9158640372
1071593940
113745a650
121bb87818
1311aa91a2
14971912c
156443045
hex4446fd4

71593940 has 48 divisors (see below), whose sum is σ = 171158400. Its totient is φ = 24900480.

The previous prime is 71593939. The next prime is 71593943. The reversal of 71593940 is 4939517.

It is a happy number.

71593940 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

71593940 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 71593894 and 71593903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71593943) 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 15 ways as a sum of consecutive naturals, for example, 2015 + ... + 12134.

It is an arithmetic number, because the mean of its divisors is an integer number (3565800).

Almost surely, 271593940 is an apocalyptic number.

It is an amenable number.

71593940 is an abundant number, since it is smaller than the sum of its proper divisors (99564460).

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

71593940 is a wasteful number, since it uses less digits than its factorization.

71593940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14192 (or 14190 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 71593940 is about 8461.3202279550. The cubic root of 71593940 is about 415.2332167643.

The spelling of 71593940 in words is "seventy-one million, five hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 14149 28298 56596 70745 141490 155639 282980 311278 325427 622556 650854 778195 1301708 1556390 1627135 3112780 3254270 3579697 6508540 7159394 14318788 17898485 35796970 71593940