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63105354 = 23213614421
BaseRepresentation
bin1111000010111…
…0100101001010
311101202002021100
43300232211022
5112123332404
610132322230
71364246424
oct360564512
9141662240
1063105354
1132691a94
1219173376
13100c6560
148549814
155817d39
hex3c2e94a

63105354 has 48 divisors (see below), whose sum is σ = 149693544. Its totient is φ = 19094400.

The previous prime is 63105347. The next prime is 63105359. The reversal of 63105354 is 45350136.

63105354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36324729 + 26780625 = 6027^2 + 5175^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (63105359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12064 + ... + 16484.

Almost surely, 263105354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63105354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74846772).

63105354 is an abundant number, since it is smaller than the sum of its proper divisors (86588190).

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

63105354 is a wasteful number, since it uses less digits than its factorization.

63105354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 63105354 is about 7943.8878390874. The cubic root of 63105354 is about 398.1274012820.

It can be divided in two parts, 6310 and 5354, that added together give a square (11664 = 1082).

The spelling of 63105354 in words is "sixty-three million, one hundred five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 1098 1586 2379 4421 4758 7137 8842 13263 14274 26526 39789 57473 79578 114946 172419 269681 344838 517257 539362 809043 1034514 1618086 2427129 3505853 4854258 7011706 10517559 21035118 31552677 63105354