Search a number
-
+
63308196 = 2233731709
BaseRepresentation
bin1111000110000…
…0000110100100
311102010101112000
43301200012210
5112201330241
610140525300
71366053000
oct361400644
9142111460
1063308196
1132810426
1219250830
1310167993
14859d700
155857eb6
hex3c601a4

63308196 has 96 divisors (see below), whose sum is σ = 191520000. Its totient is φ = 18077472.

The previous prime is 63308191. The next prime is 63308207. The reversal of 63308196 is 69180336.

It is a happy number.

63308196 is a `hidden beast` number, since 633 + 0 + 8 + 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 63308196.

It is not an unprimeable number, because it can be changed into a prime (63308191) 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, 36190 + ... + 37898.

It is an arithmetic number, because the mean of its divisors is an integer number (1995000).

Almost surely, 263308196 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 63308196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760000).

63308196 is an abundant number, since it is smaller than the sum of its proper divisors (128211804).

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

63308196 is a wasteful number, since it uses less digits than its factorization.

63308196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1721 counting only the distinct ones).

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

The square root of 63308196 is about 7956.6447702534. The cubic root of 63308196 is about 398.5535171906.

It can be divided in two parts, 63308 and 196, that added together give a square (63504 = 2522).

The spelling of 63308196 in words is "sixty-three million, three hundred eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1709 1764 2058 2646 3087 3418 4116 5127 5292 6174 6836 9261 10254 11963 12348 15381 18522 20508 23926 30762 35889 37044 46143 47852 61524 71778 83741 92286 107667 143556 167482 184572 215334 251223 323001 334964 430668 502446 586187 646002 753669 1004892 1172374 1292004 1507338 1758561 2261007 2344748 3014676 3517122 4522014 5275683 7034244 9044028 10551366 15827049 21102732 31654098 63308196