[go: up one dir, main page]

Search a number
-
+
63213696 = 273471367
BaseRepresentation
bin1111000100100…
…1000010000000
311101221120220000
43301021002000
5112140314241
610134520000
71365210330
oct361110200
9141846800
1063213696
1132756427
1219206000
1310133970
1485770c0
155839eb6
hex3c49080

63213696 has 320 divisors, whose sum is σ = 234991680. Its totient is φ = 16422912.

The previous prime is 63213691. The next prime is 63213739. The reversal of 63213696 is 69631236.

63213696 is a `hidden beast` number, since 632 + 13 + 6 + 9 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 63213696.

It is not an unprimeable number, because it can be changed into a prime (63213691) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943455 + ... + 943521.

It is an arithmetic number, because the mean of its divisors is an integer number (734349).

Almost surely, 263213696 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 63213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117495840).

63213696 is an abundant number, since it is smaller than the sum of its proper divisors (171777984).

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

63213696 is a wasteful number, since it uses less digits than its factorization.

63213696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 63213696 is about 7950.7041197620. The cubic root of 63213696 is about 398.3551117955.

The spelling of 63213696 in words is "sixty-three million, two hundred thirteen thousand, six hundred ninety-six".