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63084780 = 2232511151211
BaseRepresentation
bin1111000010100…
…1100011101100
311101201001001100
43300221203230
5112122203110
610132043100
71364132433
oct360514354
9141631040
1063084780
1132678590
1219163490
13100ba095
14854211a
155811bc0
hex3c298ec

63084780 has 144 divisors (see below), whose sum is σ = 211131648. Its totient is φ = 15120000.

The previous prime is 63084761. The next prime is 63084793. The reversal of 63084780 is 8748036.

63084780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298875 + ... + 299085.

It is an arithmetic number, because the mean of its divisors is an integer number (1466192).

Almost surely, 263084780 is an apocalyptic number.

63084780 is a gapful number since it is divisible by the number (60) 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 63084780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105565824).

63084780 is an abundant number, since it is smaller than the sum of its proper divisors (148046868).

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

63084780 is a wasteful number, since it uses less digits than its factorization.

63084780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 63084780 is about 7942.5927756621. The cubic root of 63084780 is about 398.0841299219.

The spelling of 63084780 in words is "sixty-three million, eighty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 151 165 180 198 211 220 302 330 396 422 453 495 604 633 660 755 844 906 990 1055 1266 1359 1510 1661 1812 1899 1980 2110 2265 2321 2532 2718 3020 3165 3322 3798 4220 4530 4642 4983 5436 6330 6644 6795 6963 7596 8305 9060 9284 9495 9966 11605 12660 13590 13926 14949 16610 18990 19932 20889 23210 24915 27180 27852 29898 31861 33220 34815 37980 41778 46420 49830 59796 63722 69630 74745 83556 95583 99660 104445 127444 139260 149490 159305 191166 208890 286749 298980 318610 350471 382332 417780 477915 573498 637220 700942 955830 1051413 1146996 1401884 1433745 1752355 1911660 2102826 2867490 3154239 3504710 4205652 5257065 5734980 6308478 7009420 10514130 12616956 15771195 21028260 31542390 63084780