Search a number
-
+
63540016 = 2417792957
BaseRepresentation
bin1111001001100…
…0101100110000
311102120011111221
43302120230300
5112231240031
610145514424
71401036601
oct362305460
9142504457
1063540016
1132959611
1219342a14
1310219357
14861dda8
1558a1a11
hex3c98b30

63540016 has 40 divisors (see below), whose sum is σ = 132045120. Its totient is φ = 29512704.

The previous prime is 63539981. The next prime is 63540017. The reversal of 63540016 is 61004536.

It is not an unprimeable number, because it can be changed into a prime (63540017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20010 + ... + 22966.

It is an arithmetic number, because the mean of its divisors is an integer number (3301128).

Almost surely, 263540016 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 63540016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66022560).

63540016 is an abundant number, since it is smaller than the sum of its proper divisors (68505104).

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

63540016 is a wasteful number, since it uses less digits than its factorization.

63540016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 63540016 is about 7971.1991569650. The cubic root of 63540016 is about 399.0393949415.

The spelling of 63540016 in words is "sixty-three million, five hundred forty thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 68 79 136 158 272 316 632 1264 1343 2686 2957 5372 5914 10744 11828 21488 23656 47312 50269 100538 201076 233603 402152 467206 804304 934412 1868824 3737648 3971251 7942502 15885004 31770008 63540016