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68615712 = 2532113179
BaseRepresentation
bin1000001011011…
…11111000100000
311210010001001200
410011233320200
5120031200322
610450401200
71462136544
oct405577040
9153101050
1068615712
1135806000
121ab90200
13112a5719
149181a24
1560558ac
hex416fe20

68615712 has 144 divisors (see below), whose sum is σ = 215822880. Its totient is φ = 20676480.

The previous prime is 68615683. The next prime is 68615717. The reversal of 68615712 is 21751686.

68615712 is a `hidden beast` number, since 6 + 86 + 1 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (68615717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383239 + ... + 383417.

It is an arithmetic number, because the mean of its divisors is an integer number (1498770).

Almost surely, 268615712 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 68615712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107911440).

68615712 is an abundant number, since it is smaller than the sum of its proper divisors (147207168).

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

68615712 is a wasteful number, since it uses less digits than its factorization.

68615712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 195 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 68615712 is about 8283.4601465813. The cubic root of 68615712 is about 409.3937341387.

The spelling of 68615712 in words is "sixty-eight million, six hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 179 198 242 264 288 352 358 363 396 484 528 537 716 726 792 968 1056 1074 1089 1331 1432 1452 1584 1611 1936 1969 2148 2178 2662 2864 2904 3168 3222 3872 3938 3993 4296 4356 5324 5728 5808 5907 6444 7876 7986 8592 8712 10648 11616 11814 11979 12888 15752 15972 17184 17424 17721 21296 21659 23628 23958 25776 31504 31944 34848 35442 42592 43318 47256 47916 51552 63008 63888 64977 70884 86636 94512 95832 127776 129954 141768 173272 189024 191664 194931 238249 259908 283536 346544 383328 389862 476498 519816 567072 693088 714747 779724 952996 1039632 1429494 1559448 1905992 2079264 2144241 2858988 3118896 3811984 4288482 5717976 6237792 7623968 8576964 11435952 17153928 22871904 34307856 68615712