[go: up one dir, main page]

Search a number
-
+
71663364 = 223217196163
BaseRepresentation
bin1000100010101…
…11111100000100
311222211212122200
410101113330010
5121321211424
611035554500
71530062043
oct421277404
9158755580
1071663364
11374a7823
121bbbba30
1311b01976
14973655a
1564588c9
hex4457f04

71663364 has 72 divisors (see below), whose sum is σ = 201932640. Its totient is φ = 21295872.

The previous prime is 71663341. The next prime is 71663429. The reversal of 71663364 is 46336617.

It is a happy number.

71663364 is a `hidden beast` number, since 7 + 16 + 633 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8547 + ... + 14709.

It is an arithmetic number, because the mean of its divisors is an integer number (2804620).

Almost surely, 271663364 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 71663364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100966320).

71663364 is an abundant number, since it is smaller than the sum of its proper divisors (130269276).

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

71663364 is a wasteful number, since it uses less digits than its factorization.

71663364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6209 (or 6204 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 71663364 is about 8465.4216669933. The cubic root of 71663364 is about 415.3673893774.

It can be divided in two parts, 71663 and 364, that added together give a palindrome (72027).

The spelling of 71663364 in words is "seventy-one million, six hundred sixty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 5814 6163 11628 12326 18489 24652 36978 55467 73956 104771 110934 117097 209542 221868 234194 314313 351291 419084 468388 628626 702582 942939 1053873 1257252 1405164 1885878 1990649 2107746 3771756 3981298 4215492 5971947 7962596 11943894 17915841 23887788 35831682 71663364