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56058360 = 233519231069
BaseRepresentation
bin1101010111011…
…0000111111000
310220111001121120
43111312013320
5103322331420
65321305240
71250326311
oct325660770
9126431546
1056058360
1129709526
1216935220
13b7c9b37
147633608
154dc4d40
hex35761f8

56058360 has 128 divisors (see below), whose sum is σ = 184896000. Its totient is φ = 13533696.

The previous prime is 56058349. The next prime is 56058361. The reversal of 56058360 is 6385065.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56058361) 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, 51906 + ... + 52974.

It is an arithmetic number, because the mean of its divisors is an integer number (1444500).

Almost surely, 256058360 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 56058360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92448000).

56058360 is an abundant number, since it is smaller than the sum of its proper divisors (128837640).

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

56058360 is a wasteful number, since it uses less digits than its factorization.

56058360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56058360 is about 7487.2130996787. The cubic root of 56058360 is about 382.7190935844.

The spelling of 56058360 in words is "fifty-six million, fifty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 690 760 874 920 1069 1140 1311 1380 1748 2138 2185 2280 2622 2760 3207 3496 4276 4370 5244 5345 6414 6555 8552 8740 10488 10690 12828 13110 16035 17480 20311 21380 24587 25656 26220 32070 40622 42760 49174 52440 60933 64140 73761 81244 98348 101555 121866 122935 128280 147522 162488 196696 203110 243732 245870 295044 304665 368805 406220 467153 487464 491740 590088 609330 737610 812440 934306 983480 1218660 1401459 1475220 1868612 2335765 2437320 2802918 2950440 3737224 4671530 5605836 7007295 9343060 11211672 14014590 18686120 28029180 56058360