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63240192 = 211324773
BaseRepresentation
bin1111000100111…
…1100000000000
311101222221020100
43301033200000
5112142141232
610135242400
71365350511
oct361174000
9141887210
1063240192
1132774324
1219219400
1310142a42
148582a08
155842c7c
hex3c4f800

63240192 has 144 divisors (see below), whose sum is σ = 189090720. Its totient is φ = 20348928.

The previous prime is 63240173. The next prime is 63240223. The reversal of 63240192 is 29104236.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 866268 + ... + 866340.

It is an arithmetic number, because the mean of its divisors is an integer number (1313130).

Almost surely, 263240192 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 63240192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94545360).

63240192 is an abundant number, since it is smaller than the sum of its proper divisors (125850528).

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

63240192 is a wasteful number, since it uses less digits than its factorization.

63240192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 63240192 is about 7952.3702127102. The cubic root of 63240192 is about 398.4107608261.

The spelling of 63240192 in words is "sixty-three million, two hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 73 94 96 128 141 144 146 188 192 219 256 282 288 292 376 384 423 438 512 564 576 584 657 752 768 846 876 1024 1128 1152 1168 1314 1504 1536 1692 1752 2048 2256 2304 2336 2628 3008 3072 3384 3431 3504 4512 4608 4672 5256 6016 6144 6768 6862 7008 9024 9216 9344 10293 10512 12032 13536 13724 14016 18048 18432 18688 20586 21024 24064 27072 27448 28032 30879 36096 37376 41172 42048 48128 54144 54896 56064 61758 72192 74752 82344 84096 96256 108288 109792 112128 123516 144384 149504 164688 168192 216576 219584 224256 247032 288768 329376 336384 433152 439168 448512 494064 658752 672768 866304 878336 988128 1317504 1345536 1756672 1976256 2635008 3513344 3952512 5270016 7026688 7905024 10540032 15810048 21080064 31620096 63240192