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68973696 = 2732115443
BaseRepresentation
bin1000001110001…
…11010010000000
311210210020010100
410013013102000
5120124124241
610502202400
71465160331
oct407072200
9153706110
1068973696
1135a2aa60
121b123400
131139c64c
149236288
1560c69b6
hex41c7480

68973696 has 96 divisors (see below), whose sum is σ = 216562320. Its totient is φ = 20897280.

The previous prime is 68973691. The next prime is 68973701. The reversal of 68973696 is 69637986.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68973691) and next prime (68973701).

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

It is not an unprimeable number, because it can be changed into a prime (68973691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9951 + ... + 15393.

Almost surely, 268973696 is an apocalyptic number.

68973696 is a gapful number since it is divisible by the number (66) 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 68973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108281160).

68973696 is an abundant number, since it is smaller than the sum of its proper divisors (147588624).

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

68973696 is a wasteful number, since it uses less digits than its factorization.

68973696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5459 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 68973696 is about 8305.0403972527. The cubic root of 68973696 is about 410.1044667371.

The spelling of 68973696 in words is "sixty-eight million, nine hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 5443 6336 10886 12672 16329 21772 32658 43544 48987 59873 65316 87088 97974 119746 130632 174176 179619 195948 239492 261264 348352 359238 391896 478984 522528 538857 696704 718476 783792 957968 1045056 1077714 1436952 1567584 1915936 2090112 2155428 2873904 3135168 3831872 4310856 5747808 6270336 7663744 8621712 11495616 17243424 22991232 34486848 68973696