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71678112 = 25311103659
BaseRepresentation
bin1000100010110…
…11100010100000
311222212121212220
410101123202200
5121322144422
611040151040
71530153042
oct421334240
9158777786
1071678112
1137507910
1220008480
1311b085ac
14973ba92
15645ce5c
hex445b8a0

71678112 has 96 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 21477120.

The previous prime is 71678099. The next prime is 71678153. The reversal of 71678112 is 21187617.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108439 + ... + 109097.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 271678112 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 71678112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

71678112 is an abundant number, since it is smaller than the sum of its proper divisors (135889248).

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

71678112 is a wasteful number, since it uses less digits than its factorization.

71678112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 778 counting only the distinct ones).

The product of its digits is 4704, while the sum is 33.

The square root of 71678112 is about 8466.2926951529. The cubic root of 71678112 is about 415.3958810071.

The spelling of 71678112 in words is "seventy-one million, six hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 103 132 176 206 264 309 352 412 528 618 659 824 1056 1133 1236 1318 1648 1977 2266 2472 2636 3296 3399 3954 4532 4944 5272 6798 7249 7908 9064 9888 10544 13596 14498 15816 18128 21088 21747 27192 28996 31632 36256 43494 54384 57992 63264 67877 86988 108768 115984 135754 173976 203631 231968 271508 347952 407262 543016 695904 746647 814524 1086032 1493294 1629048 2172064 2239941 2986588 3258096 4479882 5973176 6516192 8959764 11946352 17919528 23892704 35839056 71678112