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56986380 = 2232511171693
BaseRepresentation
bin1101100101100…
…0101100001100
310222020012121200
43121120230030
5104042031010
65353225500
71261243023
oct331305414
9128205550
1056986380
112a192790
1217102290
13ba63369
1477d58ba
155009cc0
hex3658b0c

56986380 has 144 divisors (see below), whose sum is σ = 199783584. Its totient is φ = 12994560.

The previous prime is 56986337. The next prime is 56986403. The reversal of 56986380 is 8368965.

56986380 is a `hidden beast` number, since 5 + 6 + 9 + 8 + 638 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32814 + ... + 34506.

It is an arithmetic number, because the mean of its divisors is an integer number (1387386).

Almost surely, 256986380 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 56986380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99891792).

56986380 is an abundant number, since it is smaller than the sum of its proper divisors (142797204).

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

56986380 is a wasteful number, since it uses less digits than its factorization.

56986380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 56986380 is about 7548.9323748461. The cubic root of 56986380 is about 384.8194577120.

The spelling of 56986380 in words is "fifty-six million, nine hundred eighty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1693 1870 1980 2244 2805 3060 3366 3386 3740 5079 5610 6732 6772 8415 8465 10158 11220 15237 16830 16930 18623 20316 25395 28781 30474 33660 33860 37246 50790 55869 57562 60948 74492 76185 86343 93115 101580 111738 115124 143905 152370 167607 172686 186230 223476 259029 279345 287810 304740 316591 335214 345372 372460 431715 518058 558690 575620 633182 670428 838035 863430 949773 1036116 1117380 1266364 1295145 1582955 1676070 1726860 1899546 2590290 2849319 3165910 3352140 3799092 4748865 5180580 5698638 6331820 9497730 11397276 14246595 18995460 28493190 56986380