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63427320 = 233351119281
BaseRepresentation
bin1111000111110…
…1001011111000
311102100102221000
43301331023320
5112214133240
610143245000
71400060205
oct361751370
9142312830
1063427320
1132891980
12192a9760
13101a9c78
1485d0cac
15587d430
hex3c7d2f8

63427320 has 256 divisors, whose sum is σ = 243648000. Its totient is φ = 14515200.

The previous prime is 63427319. The next prime is 63427337. The reversal of 63427320 is 2372436.

63427320 is a `hidden beast` number, since 634 + 2 + 7 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225580 + ... + 225860.

It is an arithmetic number, because the mean of its divisors is an integer number (951750).

Almost surely, 263427320 is an apocalyptic number.

63427320 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 63427320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121824000).

63427320 is an abundant number, since it is smaller than the sum of its proper divisors (180220680).

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

63427320 is a wasteful number, since it uses less digits than its factorization.

63427320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 63427320 is about 7964.1270708095. The cubic root of 63427320 is about 398.8033402503.

Adding to 63427320 its reverse (2372436), we get a palindrome (65799756).

The spelling of 63427320 in words is "sixty-three million, four hundred twenty-seven thousand, three hundred twenty".