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201028140 = 223256779211
BaseRepresentation
bin10111111101101…
…11001000101100
3112000021021202200
423332313020230
5402430400030
631540421500
74660465605
oct1376671054
9460237680
10201028140
11a3525465
12573a7890
1332857281
141c9acdac
15129add60
hexbfb722c

201028140 has 144 divisors (see below), whose sum is σ = 629690880. Its totient is φ = 51891840.

The previous prime is 201028133. The next prime is 201028147. The reversal of 201028140 is 41820102.

It is an interprime number because it is at equal distance from previous prime (201028133) and next prime (201028147).

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 (201028147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 952635 + ... + 952845.

Almost surely, 2201028140 is an apocalyptic number.

201028140 is a gapful number since it is divisible by the number (20) 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 201028140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314845440).

201028140 is an abundant number, since it is smaller than the sum of its proper divisors (428662740).

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

201028140 is a wasteful number, since it uses less digits than its factorization.

201028140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 201028140 is about 14178.4392653070. The cubic root of 201028140 is about 585.8039352308.

Adding to 201028140 its reverse (41820102), we get a palindrome (242848242).

The spelling of 201028140 in words is "two hundred one million, twenty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 79 90 134 158 180 201 211 237 268 316 335 395 402 422 474 603 633 670 711 790 804 844 948 1005 1055 1185 1206 1266 1340 1422 1580 1899 2010 2110 2370 2412 2532 2844 3015 3165 3555 3798 4020 4220 4740 5293 6030 6330 7110 7596 9495 10586 12060 12660 14137 14220 15879 16669 18990 21172 26465 28274 31758 33338 37980 42411 47637 50007 52930 56548 63516 66676 70685 79395 83345 84822 95274 100014 105860 127233 141370 150021 158790 166690 169644 190548 200028 212055 238185 250035 254466 282740 300042 317580 333380 424110 476370 500070 508932 600084 636165 750105 848220 952740 1000140 1116823 1272330 1500210 2233646 2544660 3000420 3350469 4467292 5584115 6700938 10051407 11168230 13401876 16752345 20102814 22336460 33504690 40205628 50257035 67009380 100514070 201028140