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63241120 = 2551971293
BaseRepresentation
bin1111000100111…
…1101110100000
311101222222111201
43301033232200
5112142203440
610135250544
71365353305
oct361175640
9141888451
1063241120
1132774a98
1219219a54
13101432a7
1485830ac
15584319a
hex3c4fba0

63241120 has 96 divisors (see below), whose sum is σ = 160030080. Its totient is φ = 23546880.

The previous prime is 63241111. The next prime is 63241121. The reversal of 63241120 is 2114236.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (63241121) 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, 215694 + ... + 215986.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 263241120 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 63241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80015040).

63241120 is an abundant number, since it is smaller than the sum of its proper divisors (96788960).

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

63241120 is a wasteful number, since it uses less digits than its factorization.

63241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 63241120 is about 7952.4285598803. The cubic root of 63241120 is about 398.4127096046.

Adding to 63241120 its reverse (2114236), we get a palindrome (65355356).

The spelling of 63241120 in words is "sixty-three million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 71 76 80 95 142 152 160 190 284 293 304 355 380 568 586 608 710 760 1136 1172 1349 1420 1465 1520 2272 2344 2698 2840 2930 3040 4688 5396 5567 5680 5860 6745 9376 10792 11134 11360 11720 13490 20803 21584 22268 23440 26980 27835 41606 43168 44536 46880 53960 55670 83212 89072 104015 107920 111340 166424 178144 208030 215840 222680 332848 395257 416060 445360 665696 790514 832120 890720 1581028 1664240 1976285 3162056 3328480 3952570 6324112 7905140 12648224 15810280 31620560 63241120