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63380196 = 223211295519
BaseRepresentation
bin1111000111000…
…1101011100100
311102021001021200
43301301223210
5112211131241
610142242500
71366502625
oct361615344
9142231250
1063380196
113285a530
1219286430
1310191699
1485bba4c
15586e4b6
hex3c71ae4

63380196 has 72 divisors (see below), whose sum is σ = 180835200. Its totient is φ = 18540480.

The previous prime is 63380183. The next prime is 63380197. The reversal of 63380196 is 69108336.

It is a happy number.

63380196 is a `hidden beast` number, since 633 + 8 + 0 + 19 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 63380196.

It is not an unprimeable number, because it can be changed into a prime (63380197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8725 + ... + 14243.

It is an arithmetic number, because the mean of its divisors is an integer number (2511600).

Almost surely, 263380196 is an apocalyptic number.

63380196 is a gapful number since it is divisible by the number (66) 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 63380196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90417600).

63380196 is an abundant number, since it is smaller than the sum of its proper divisors (117455004).

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

63380196 is a wasteful number, since it uses less digits than its factorization.

63380196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5569 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 63380196 is about 7961.1680047591. The cubic root of 63380196 is about 398.7045507238.

The spelling of 63380196 in words is "sixty-three million, three hundred eighty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5519 5742 11038 11484 16557 22076 33114 49671 60709 66228 99342 121418 160051 182127 198684 242836 320102 364254 480153 546381 640204 728508 960306 1092762 1440459 1760561 1920612 2185524 2880918 3521122 5281683 5761836 7042244 10563366 15845049 21126732 31690098 63380196