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63240320 = 2751113691
BaseRepresentation
bin1111000100111…
…1100010000000
311101222221102002
43301033202000
5112142142240
610135243132
71365351053
oct361174200
9141887362
1063240320
1132774430
12192194a8
1310142b10
148582a9a
155842d15
hex3c4f880

63240320 has 128 divisors (see below), whose sum is σ = 177871680. Its totient is φ = 21196800.

The previous prime is 63240313. The next prime is 63240343. The reversal of 63240320 is 2304236.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 63240292 and 63240301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91175 + ... + 91865.

Almost surely, 263240320 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 63240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88935840).

63240320 is an abundant number, since it is smaller than the sum of its proper divisors (114631360).

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

63240320 is a wasteful number, since it uses less digits than its factorization.

63240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 63240320 is about 7952.3782606212. The cubic root of 63240320 is about 398.4110296243.

Adding to 63240320 its reverse (2304236), we get a palindrome (65544556).

The spelling of 63240320 in words is "sixty-three million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 260 286 320 352 416 440 520 572 640 691 704 715 832 880 1040 1144 1382 1408 1430 1664 1760 2080 2288 2764 2860 3455 3520 4160 4576 5528 5720 6910 7040 7601 8320 8983 9152 11056 11440 13820 15202 17966 18304 22112 22880 27640 30404 35932 38005 44224 44915 45760 55280 60808 71864 76010 88448 89830 91520 98813 110560 121616 143728 152020 179660 197626 221120 243232 287456 304040 359320 395252 442240 486464 494065 574912 608080 718640 790504 972928 988130 1149824 1216160 1437280 1581008 1976260 2432320 2874560 3162016 3952520 4864640 5749120 6324032 7905040 12648064 15810080 31620160 63240320