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68963184 = 2433612617
BaseRepresentation
bin1000001110001…
…00101101110000
311210202200201000
410013010231300
5120123310214
610502042000
71465114563
oct407045560
9153680630
1068963184
1135a23074
121b119300
1311397924
1492324da
1560c3809
hex41c4b70

68963184 has 80 divisors (see below), whose sum is σ = 201271840. Its totient is φ = 22602240.

The previous prime is 68963149. The next prime is 68963221. The reversal of 68963184 is 48136986.

68963184 is a `hidden beast` number, since 6 + 8 + 9 + 631 + 8 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 25044 + ... + 27660.

It is an arithmetic number, because the mean of its divisors is an integer number (2515898).

Almost surely, 268963184 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 68963184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100635920).

68963184 is an abundant number, since it is smaller than the sum of its proper divisors (132308656).

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

68963184 is a wasteful number, since it uses less digits than its factorization.

68963184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2683 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 68963184 is about 8304.4075044521. The cubic root of 68963184 is about 410.0836315616.

The spelling of 68963184 in words is "sixty-eight million, nine hundred sixty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2196 2617 2928 3294 4392 5234 6588 7851 8784 10468 13176 15702 20936 23553 26352 31404 41872 47106 62808 70659 94212 125616 141318 159637 188424 282636 319274 376848 478911 565272 638548 957822 1130544 1277096 1436733 1915644 2554192 2873466 3831288 4310199 5746932 7662576 8620398 11493864 17240796 22987728 34481592 68963184