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71668224 = 2932103151
BaseRepresentation
bin1000100010110…
…01001000000000
311222212010022200
410101121020000
5121321340344
611040033200
71530112155
oct421311000
9158763280
1071668224
1137500441
1220002800
1311b03c44
14973822c
15645a069
hex4459200

71668224 has 120 divisors (see below), whose sum is σ = 210230592. Its totient is φ = 23500800.

The previous prime is 71668189. The next prime is 71668231. The reversal of 71668224 is 42286617.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474549 + ... + 474699.

Almost surely, 271668224 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 71668224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105115296).

71668224 is an abundant number, since it is smaller than the sum of its proper divisors (138562368).

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

71668224 is a wasteful number, since it uses less digits than its factorization.

71668224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 71668224 is about 8465.7087122107. The cubic root of 71668224 is about 415.3767788328.

The spelling of 71668224 in words is "seventy-one million, six hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 151 192 206 256 288 302 309 384 412 453 512 576 604 618 768 824 906 927 1152 1208 1236 1359 1536 1648 1812 1854 2304 2416 2472 2718 3296 3624 3708 4608 4832 4944 5436 6592 7248 7416 9664 9888 10872 13184 14496 14832 15553 19328 19776 21744 26368 28992 29664 31106 38656 39552 43488 46659 52736 57984 59328 62212 77312 79104 86976 93318 115968 118656 124424 139977 158208 173952 186636 231936 237312 248848 279954 347904 373272 474624 497696 559908 695808 746544 995392 1119816 1493088 1990784 2239632 2986176 3981568 4479264 5972352 7963136 8958528 11944704 17917056 23889408 35834112 71668224