Search a number
-
+
87347712 = 293194173
BaseRepresentation
bin1010011010011…
…01001000000000
320002100201112110
411031031020000
5134330111322
612400055320
72110305024
oct515151000
9202321473
1087347712
114533a6a1
1225304540
131513394a
14b85a384
157a05c0c
hex534d200

87347712 has 160 divisors (see below), whose sum is σ = 254358720. Its totient is φ = 26542080.

The previous prime is 87347651. The next prime is 87347719. The reversal of 87347712 is 21774378.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87347719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1196508 + ... + 1196580.

It is an arithmetic number, because the mean of its divisors is an integer number (1589742).

Almost surely, 287347712 is an apocalyptic number.

87347712 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87347712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127179360).

87347712 is an abundant number, since it is smaller than the sum of its proper divisors (167011008).

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

87347712 is a wasteful number, since it uses less digits than its factorization.

87347712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 87347712 is about 9345.9997860047. Note that the first 3 decimals coincide. The cubic root of 87347712 is about 443.6942948788.

The spelling of 87347712 in words is "eighty-seven million, three hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 64 73 76 82 96 114 123 128 146 152 164 192 219 228 246 256 292 304 328 384 438 456 492 512 584 608 656 768 779 876 912 984 1168 1216 1312 1387 1536 1558 1752 1824 1968 2336 2337 2432 2624 2774 2993 3116 3504 3648 3936 4161 4672 4674 4864 5248 5548 5986 6232 7008 7296 7872 8322 8979 9344 9348 9728 10496 11096 11972 12464 14016 14592 15744 16644 17958 18688 18696 20992 22192 23944 24928 28032 29184 31488 33288 35916 37376 37392 44384 47888 49856 56064 56867 62976 66576 71832 74784 88768 95776 99712 112128 113734 133152 143664 149568 170601 177536 191552 199424 227468 266304 287328 299136 341202 355072 383104 398848 454936 532608 574656 598272 682404 710144 766208 909872 1065216 1149312 1196544 1364808 1532416 1819744 2130432 2298624 2729616 3639488 4597248 5459232 7278976 10918464 14557952 21836928 29115904 43673856 87347712