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63096138 = 2337712351
BaseRepresentation
bin1111000010110…
…0010101001010
311101201121122000
43300230111022
5112123034023
610132211430
71364210520
oct360542512
9141647560
1063096138
1132686076
1219169b76
13100c22c1
148546310
155815243
hex3c2c54a

63096138 has 64 divisors (see below), whose sum is σ = 162570240. Its totient is φ = 17766000.

The previous prime is 63096133. The next prime is 63096161. The reversal of 63096138 is 83169036.

It is a happy number.

63096138 is a `hidden beast` number, since 6 + 30 + 9 + 613 + 8 = 666.

It is a super-2 number, since 2×630961382 = 7962245261030088, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (63096133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25663 + ... + 28013.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 263096138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63096138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

63096138 is an abundant number, since it is smaller than the sum of its proper divisors (99474102).

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

63096138 is a wasteful number, since it uses less digits than its factorization.

63096138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2434 counting only the distinct ones).

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

The square root of 63096138 is about 7943.3077492944. The cubic root of 63096138 is about 398.1080192986.

The spelling of 63096138 in words is "sixty-three million, ninety-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 126 142 189 213 378 426 497 639 994 1278 1491 1917 2351 2982 3834 4473 4702 7053 8946 13419 14106 16457 21159 26838 32914 42318 49371 63477 98742 126954 148113 166921 296226 333842 444339 500763 888678 1001526 1168447 1502289 2336894 3004578 3505341 4506867 7010682 9013734 10516023 21032046 31548069 63096138