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56200140 = 223254353137
BaseRepresentation
bin1101011001100…
…0101111001100
310220202021002200
43112120233030
5103341401030
65324321500
71251456543
oct326305714
9126667080
1056200140
11297a5aa7
12169a3290
13b849529
14766d15a
154e01d60
hex3598bcc

56200140 has 144 divisors (see below), whose sum is σ = 179026848. Its totient is φ = 14257152.

The previous prime is 56200139. The next prime is 56200141. The reversal of 56200140 is 4100265.

It is a happy number.

56200140 is a `hidden beast` number, since 5 + 620 + 0 + 1 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (56200139) and next prime (56200141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (56200141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410152 + ... + 410288.

It is an arithmetic number, because the mean of its divisors is an integer number (1243242).

Almost surely, 256200140 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 56200140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89513424).

56200140 is an abundant number, since it is smaller than the sum of its proper divisors (122826708).

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

56200140 is a wasteful number, since it uses less digits than its factorization.

56200140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 56200140 is about 7496.6752630750. The cubic root of 56200140 is about 383.0414732839.

The spelling of 56200140 in words is "fifty-six million, two hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 53 60 86 90 106 129 137 159 172 180 212 215 258 265 274 318 387 411 430 477 516 530 548 636 645 685 774 795 822 860 954 1060 1233 1290 1370 1548 1590 1644 1908 1935 2055 2279 2385 2466 2580 2740 3180 3870 4110 4558 4770 4932 5891 6165 6837 7261 7740 8220 9116 9540 11395 11782 12330 13674 14522 17673 20511 21783 22790 23564 24660 27348 29044 29455 34185 35346 36305 41022 43566 45580 53019 58910 65349 68370 70692 72610 82044 87132 88365 102555 106038 108915 117820 130698 136740 145220 176730 205110 212076 217830 261396 265095 312223 326745 353460 410220 435660 530190 624446 653490 936669 1060380 1248892 1306980 1561115 1873338 2810007 3122230 3746676 4683345 5620014 6244460 9366690 11240028 14050035 18733380 28100070 56200140