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63114064 = 24132171373
BaseRepresentation
bin1111000011000…
…0101101010000
311101202112012221
43300300231100
5112124122224
610132430424
71364314006
oct360605520
9141675187
1063114064
1132698592
1219178414
13100ca500
14854ca76
15581a6e4
hex3c30b50

63114064 has 60 divisors (see below), whose sum is σ = 140304636. Its totient is φ = 27396096.

The previous prime is 63114061. The next prime is 63114133. The reversal of 63114064 is 46041136.

It can be written as a sum of positive squares in 6 ways, for example, as 577600 + 62536464 = 760^2 + 7908^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63114061) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 45282 + ... + 46654.

Almost surely, 263114064 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 63114064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70152318).

63114064 is an abundant number, since it is smaller than the sum of its proper divisors (77190572).

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

63114064 is a wasteful number, since it uses less digits than its factorization.

63114064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 63114064 is about 7944.4360403996. The cubic root of 63114064 is about 398.1457173725.

The spelling of 63114064 in words is "sixty-three million, one hundred fourteen thousand, sixty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 169 208 221 272 338 442 676 884 1352 1373 1768 2704 2746 2873 3536 5492 5746 10984 11492 17849 21968 22984 23341 35698 45968 46682 71396 93364 142792 186728 232037 285584 303433 373456 464074 606866 928148 1213732 1856296 2427464 3712592 3944629 4854928 7889258 15778516 31557032 63114064