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63380112 = 24337127281
BaseRepresentation
bin1111000111000…
…1101010010000
311102021001011120
43301301222100
5112211130422
610142242240
71366502445
oct361615220
9142231146
1063380112
113285a464
1219286380
1310191633
1485bb9cc
15586e45c
hex3c71a90

63380112 has 80 divisors (see below), whose sum is σ = 170084352. Its totient is φ = 20321280.

The previous prime is 63380071. The next prime is 63380113. The reversal of 63380112 is 21108336.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (63380113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225412 + ... + 225692.

Almost surely, 263380112 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 63380112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85042176).

63380112 is an abundant number, since it is smaller than the sum of its proper divisors (106704240).

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

63380112 is a wasteful number, since it uses less digits than its factorization.

63380112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 63380112 is about 7961.1627291496. The cubic root of 63380112 is about 398.7043745847.

Adding to 63380112 its reverse (21108336), we get a palindrome (84488448).

The spelling of 63380112 in words is "sixty-three million, three hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 127 148 222 254 281 296 381 444 508 562 592 762 843 888 1016 1124 1524 1686 1776 2032 2248 3048 3372 4496 4699 6096 6744 9398 10397 13488 14097 18796 20794 28194 31191 35687 37592 41588 56388 62382 71374 75184 83176 107061 112776 124764 142748 166352 214122 225552 249528 285496 428244 499056 570992 856488 1320419 1712976 2640838 3961257 5281676 7922514 10563352 15845028 21126704 31690056 63380112