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68672032 = 25111343349
BaseRepresentation
bin1000001011111…
…01101000100000
311210012220022121
410011331220200
5120040001112
610451514024
71462463002
oct405755040
9153186277
1068672032
1135844350
121abb8914
13112c5250
149198372
156067407
hex417da20

68672032 has 96 divisors (see below), whose sum is σ = 162993600. Its totient is φ = 28062720.

The previous prime is 68672017. The next prime is 68672039. The reversal of 68672032 is 23027686.

It is not an unprimeable number, because it can be changed into a prime (68672039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196594 + ... + 196942.

It is an arithmetic number, because the mean of its divisors is an integer number (1697850).

Almost surely, 268672032 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 68672032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81496800).

68672032 is an abundant number, since it is smaller than the sum of its proper divisors (94321568).

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

68672032 is a wasteful number, since it uses less digits than its factorization.

68672032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 68672032 is about 8286.8589948182. The cubic root of 68672032 is about 409.5057140768.

The spelling of 68672032 in words is "sixty-eight million, six hundred seventy-two thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 43 44 52 86 88 104 143 172 176 208 286 344 349 352 416 473 559 572 688 698 946 1118 1144 1376 1396 1892 2236 2288 2792 3784 3839 4472 4537 4576 5584 6149 7568 7678 8944 9074 11168 12298 15007 15136 15356 17888 18148 24596 30014 30712 36296 49192 49907 60028 61424 72592 98384 99814 120056 122848 145184 165077 195091 196768 199628 240112 330154 390182 399256 480224 660308 780364 798512 1320616 1560728 1597024 2146001 2641232 3121456 4292002 5282464 6242912 8584004 17168008 34336016 68672032