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63680904 = 23347101139
BaseRepresentation
bin1111001011101…
…1000110001000
311102211022210000
43302323012020
5112300242104
610152523000
71402164420
oct362730610
9142738700
1063680904
1132a45451
12193b0460
1310268511
148659480
1558cd639
hex3cbb188

63680904 has 160 divisors (see below), whose sum is σ = 207345600. Its totient is φ = 17884800.

The previous prime is 63680879. The next prime is 63680921. The reversal of 63680904 is 40908636.

63680904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 458067 + ... + 458205.

It is an arithmetic number, because the mean of its divisors is an integer number (1295910).

Almost surely, 263680904 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 63680904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103672800).

63680904 is an abundant number, since it is smaller than the sum of its proper divisors (143664696).

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

63680904 is a wasteful number, since it uses less digits than its factorization.

63680904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 63680904 is about 7980.0315788849. The cubic root of 63680904 is about 399.3341087539.

The spelling of 63680904 in words is "sixty-three million, six hundred eighty thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 101 108 126 139 162 168 189 202 216 252 278 303 324 378 404 417 504 556 567 606 648 707 756 808 834 909 973 1112 1134 1212 1251 1414 1512 1668 1818 1946 2121 2268 2424 2502 2727 2828 2919 3336 3636 3753 3892 4242 4536 5004 5454 5656 5838 6363 7272 7506 7784 8181 8484 8757 10008 10908 11259 11676 12726 14039 15012 16362 16968 17514 19089 21816 22518 23352 25452 26271 28078 30024 32724 35028 38178 42117 45036 50904 52542 56156 57267 65448 70056 76356 78813 84234 90072 98273 105084 112312 114534 126351 152712 157626 168468 196546 210168 229068 252702 294819 315252 336936 379053 393092 458136 505404 589638 630504 758106 786184 884457 1010808 1137159 1179276 1516212 1768914 2274318 2358552 2653371 3032424 3537828 4548636 5306742 7075656 7960113 9097272 10613484 15920226 21226968 31840452 63680904