Search a number
-
+
57056120 = 23511314789
BaseRepresentation
bin1101100110100…
…1101101111000
310222100202021122
43121221231320
5104101243440
65354524412
71261653242
oct331515570
9128322248
1057056120
112a230120
1217136708
13ba89024
147813092
1550207b5
hex3669b78

57056120 has 128 divisors (see below), whose sum is σ = 149299200. Its totient is φ = 19430400.

The previous prime is 57056117. The next prime is 57056161. The reversal of 57056120 is 2165075.

It is a self number, because there is not a number n which added to its sum of digits gives 57056120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641036 + ... + 641124.

It is an arithmetic number, because the mean of its divisors is an integer number (1166400).

Almost surely, 257056120 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 57056120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74649600).

57056120 is an abundant number, since it is smaller than the sum of its proper divisors (92243080).

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

57056120 is a wasteful number, since it uses less digits than its factorization.

57056120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 57056120 is about 7553.5501587002. The cubic root of 57056120 is about 384.9763745552.

The spelling of 57056120 in words is "fifty-seven million, fifty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 47 55 62 88 89 94 110 124 155 178 188 220 235 248 310 341 356 376 440 445 470 517 620 682 712 890 940 979 1034 1240 1364 1457 1705 1780 1880 1958 2068 2585 2728 2759 2914 3410 3560 3916 4136 4183 4895 5170 5518 5828 6820 7285 7832 8366 9790 10340 11036 11656 13640 13795 14570 16027 16732 19580 20680 20915 22072 27590 29140 30349 32054 33464 39160 41830 46013 55180 58280 60698 64108 80135 83660 92026 110360 121396 128216 129673 151745 160270 167320 184052 230065 242792 259346 303490 320540 368104 460130 518692 606980 641080 648365 920260 1037384 1213960 1296730 1426403 1840520 2593460 2852806 5186920 5705612 7132015 11411224 14264030 28528060 57056120