Search a number
-
+
63694080 = 283351997
BaseRepresentation
bin1111001011111…
…0010100000000
311102211222212000
43302332110000
5112301202310
610153104000
71402251012
oct362762400
9142758760
1063694080
1132a5433a
12193b8000
1310271508
1486601b2
1558d24c0
hex3cbe500

63694080 has 288 divisors, whose sum is σ = 240374400. Its totient is φ = 15925248.

The previous prime is 63694079. The next prime is 63694091. The reversal of 63694080 is 8049636.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656592 + ... + 656688.

Almost surely, 263694080 is an apocalyptic number.

63694080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120187200).

63694080 is an abundant number, since it is smaller than the sum of its proper divisors (176680320).

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

63694080 is a wasteful number, since it uses less digits than its factorization.

63694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 63694080 is about 7980.8570968286. The cubic root of 63694080 is about 399.3616484769.

The spelling of 63694080 in words is "sixty-three million, six hundred ninety-four thousand, eighty".