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68589024 = 253732083
BaseRepresentation
bin1000001011010…
…01010111100000
311210001200110020
410011221113200
5120024322044
610450033440
71461666000
oct405512740
9153050406
1068589024
1135797a49
121ab78880
131129652a
149176000
15604ca19
hex41695e0

68589024 has 96 divisors (see below), whose sum is σ = 210067200. Its totient is φ = 19587456.

The previous prime is 68589011. The next prime is 68589077. The reversal of 68589024 is 42098586.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 31887 + ... + 33969.

It is an arithmetic number, because the mean of its divisors is an integer number (2188200).

Almost surely, 268589024 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 68589024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105033600).

68589024 is an abundant number, since it is smaller than the sum of its proper divisors (141478176).

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

68589024 is a wasteful number, since it uses less digits than its factorization.

68589024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 68589024 is about 8281.8490688976. The cubic root of 68589024 is about 409.3406495195.

The spelling of 68589024 in words is "sixty-eight million, five hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2083 2352 2744 4116 4166 4704 5488 6249 8232 8332 10976 12498 14581 16464 16664 24996 29162 32928 33328 43743 49992 58324 66656 87486 99984 102067 116648 174972 199968 204134 233296 306201 349944 408268 466592 612402 699888 714469 816536 1224804 1399776 1428938 1633072 2143407 2449608 2857876 3266144 4286814 4899216 5715752 8573628 9798432 11431504 17147256 22863008 34294512 68589024