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63104130 = 23351912301
BaseRepresentation
bin1111000010111…
…0010010000010
311101202000121000
43300232102002
5112123313010
610132312430
71364243025
oct360562202
9141660530
1063104130
1132691081
1219172716
13100c5b2b
1485491bc
1558177c0
hex3c2e482

63104130 has 64 divisors (see below), whose sum is σ = 177148800. Its totient is φ = 15940800.

The previous prime is 63104117. The next prime is 63104137. The reversal of 63104130 is 3140136.

63104130 is a `hidden beast` number, since 631 + 0 + 4 + 1 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (63104137) 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 31 ways as a sum of consecutive naturals, for example, 1021 + ... + 11280.

It is an arithmetic number, because the mean of its divisors is an integer number (2767950).

Almost surely, 263104130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63104130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88574400).

63104130 is an abundant number, since it is smaller than the sum of its proper divisors (114044670).

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

63104130 is a wasteful number, since it uses less digits than its factorization.

63104130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12336 (or 12330 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 63104130 is about 7943.8107983511. The cubic root of 63104130 is about 398.1248272210.

Adding to 63104130 its reverse (3140136), we get a palindrome (66244266).

It can be divided in two parts, 6310 and 4130, that added together give a triangular number (10440 = T144).

The spelling of 63104130 in words is "sixty-three million, one hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 12301 24602 36903 61505 73806 110709 123010 184515 221418 233719 332127 369030 467438 553545 664254 701157 1107090 1168595 1402314 1660635 2103471 2337190 3321270 3505785 4206942 6310413 7011570 10517355 12620826 21034710 31552065 63104130