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63690138 = 2344143223
BaseRepresentation
bin1111001011110…
…1010110011010
311102211210110000
43302331112122
5112301041023
610153033430
71402233351
oct362752632
9142753400
1063690138
1132a51386
12193b5876
131026c795
14865c998
1558d1243
hex3cbd59a

63690138 has 80 divisors (see below), whose sum is σ = 150264576. Its totient is φ = 20139840.

The previous prime is 63690127. The next prime is 63690191. The reversal of 63690138 is 83109636.

It is a happy number.

63690138 is a `hidden beast` number, since 636 + 9 + 0 + 13 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 285495 + ... + 285717.

Almost surely, 263690138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63690138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75132288).

63690138 is an abundant number, since it is smaller than the sum of its proper divisors (86574438).

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

63690138 is a wasteful number, since it uses less digits than its factorization.

63690138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 63690138 is about 7980.6101270517. The cubic root of 63690138 is about 399.3534095318.

The spelling of 63690138 in words is "sixty-three million, six hundred ninety thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 41 43 54 81 82 86 123 129 162 223 246 258 369 387 446 669 738 774 1107 1161 1338 1763 2007 2214 2322 3321 3483 3526 4014 5289 6021 6642 6966 9143 9589 10578 12042 15867 18063 18286 19178 27429 28767 31734 36126 47601 54858 57534 82287 86301 95202 142803 164574 172602 246861 258903 285606 393149 493722 517806 740583 776709 786298 1179447 1481166 1553418 2358894 3538341 7076682 10615023 21230046 31845069 63690138