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63240268 = 22713712447
BaseRepresentation
bin1111000100111…
…1100001001100
311101222221100011
43301033201030
5112142142033
610135243004
71365350650
oct361174114
9141887304
1063240268
1132774393
1219219464
1310142aa0
148582a60
155842ccd
hex3c4f84c

63240268 has 48 divisors (see below), whose sum is σ = 138184704. Its totient is φ = 24655680.

The previous prime is 63240263. The next prime is 63240277. The reversal of 63240268 is 86204236.

63240268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (63240263) 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 15 ways as a sum of consecutive naturals, for example, 24621 + ... + 27067.

It is an arithmetic number, because the mean of its divisors is an integer number (2878848).

Almost surely, 263240268 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 63240268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69092352).

63240268 is an abundant number, since it is smaller than the sum of its proper divisors (74944436).

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

63240268 is a wasteful number, since it uses less digits than its factorization.

63240268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 63240268 is about 7952.3749911583. The cubic root of 63240268 is about 398.4109204251.

The spelling of 63240268 in words is "sixty-three million, two hundred forty thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 71 91 142 182 284 364 497 923 994 1846 1988 2447 3692 4894 6461 9788 12922 17129 25844 31811 34258 63622 68516 127244 173737 222677 347474 445354 694948 890708 1216159 2258581 2432318 4517162 4864636 9034324 15810067 31620134 63240268