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63678006 = 23271967397
BaseRepresentation
bin1111001011101…
…0011000110110
311102211011210200
43302322120312
5112300144011
610152501330
71402153110
oct362723066
9142734720
1063678006
1132a43257
12193aa846
13102670c2
1486583b0
1558cc856
hex3cba636

63678006 has 96 divisors (see below), whose sum is σ = 168879360. Its totient is φ = 16936128.

The previous prime is 63678001. The next prime is 63678019. The reversal of 63678006 is 60087636.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63678001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160200 + ... + 160596.

It is an arithmetic number, because the mean of its divisors is an integer number (1759160).

Almost surely, 263678006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63678006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84439680).

63678006 is an abundant number, since it is smaller than the sum of its proper divisors (105201354).

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

63678006 is a wasteful number, since it uses less digits than its factorization.

63678006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 63678006 is about 7979.8499985902. The cubic root of 63678006 is about 399.3280510101.

The spelling of 63678006 in words is "sixty-three million, six hundred seventy-eight thousand, six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 67 114 126 133 134 171 201 266 342 397 399 402 469 603 794 798 938 1191 1197 1206 1273 1407 2382 2394 2546 2779 2814 3573 3819 4221 5558 7146 7543 7638 8337 8442 8911 11457 15086 16674 17822 22629 22914 25011 26599 26733 45258 50022 52801 53198 53466 67887 79797 80199 105602 135774 158403 159594 160398 186193 239391 316806 372386 475209 478782 505381 558579 950418 1010762 1117158 1516143 1675737 3032286 3351474 3537667 4548429 7075334 9096858 10613001 21226002 31839003 63678006