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63216006 = 23723312111
BaseRepresentation
bin1111000100100…
…1100110000110
311101221201001120
43301021212012
5112140403011
610134534410
71365220140
oct361114606
9141851046
1063216006
1132758137
1219207406
1310134a29
148577c90
15583aa06
hex3c49986

63216006 has 64 divisors (see below), whose sum is σ = 155713536. Its totient is φ = 16711200.

The previous prime is 63215989. The next prime is 63216007. The reversal of 63216006 is 60061236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63216007) 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, 28891 + ... + 31001.

It is an arithmetic number, because the mean of its divisors is an integer number (2433024).

Almost surely, 263216006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63216006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77856768).

63216006 is an abundant number, since it is smaller than the sum of its proper divisors (92497530).

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

63216006 is a wasteful number, since it uses less digits than its factorization.

63216006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 63216006 is about 7950.8493885874. The cubic root of 63216006 is about 398.3599640620.

The spelling of 63216006 in words is "sixty-three million, two hundred sixteen thousand, six".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 62 69 93 138 161 186 217 322 434 483 651 713 966 1302 1426 2111 2139 4222 4278 4991 6333 9982 12666 14777 14973 29554 29946 44331 48553 65441 88662 97106 130882 145659 196323 291318 339871 392646 458087 679742 916174 1019613 1374261 1505143 2039226 2748522 3010286 4515429 9030858 10536001 21072002 31608003 63216006