Search a number
-
+
63990080 = 265731153
BaseRepresentation
bin1111010000011…
…0100101000000
311110102000212222
43310012211000
5112340140310
610203310212
71404623000
oct364064500
9143360788
1063990080
1133136770
121951b368
131034616b
1486da000
155940055
hex3d06940

63990080 has 224 divisors, whose sum is σ = 197510400. Its totient is φ = 19568640.

The previous prime is 63990067. The next prime is 63990083. The reversal of 63990080 is 8009936.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 63990080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63990083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207334 + ... + 1207386.

Almost surely, 263990080 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 63990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98755200).

63990080 is an abundant number, since it is smaller than the sum of its proper divisors (133520320).

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

63990080 is a wasteful number, since it uses less digits than its factorization.

63990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 63990080 is about 7999.3799759731. The cubic root of 63990080 is about 399.9793322655.

The spelling of 63990080 in words is "sixty-three million, nine hundred ninety thousand, eighty".