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206540152 = 23713532101
BaseRepresentation
bin11000100111110…
…00110101111000
3112101122022211021
430103320311320
5410333241102
632254512224
75055363610
oct1423706570
9471568737
10206540152
11a664a745
1259205674
1333a37110
141d605a40
15131ec137
hexc4f8d78

206540152 has 96 divisors (see below), whose sum is σ = 490603680. Its totient is φ = 79372800.

The previous prime is 206540149. The next prime is 206540153. The reversal of 206540152 is 251045602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206540153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2044902 + ... + 2045002.

It is an arithmetic number, because the mean of its divisors is an integer number (5110455).

Almost surely, 2206540152 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 206540152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245301840).

206540152 is an abundant number, since it is smaller than the sum of its proper divisors (284063528).

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

206540152 is a wasteful number, since it uses less digits than its factorization.

206540152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 206540152 is about 14371.5048620525. The cubic root of 206540152 is about 591.1098061646.

Adding to 206540152 its reverse (251045602), we get a palindrome (457585754).

The spelling of 206540152 in words is "two hundred six million, five hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 53 56 91 101 104 106 182 202 212 364 371 404 424 689 707 728 742 808 1313 1378 1414 1484 2626 2756 2809 2828 2968 4823 5252 5353 5512 5618 5656 9191 9646 10504 10706 11236 18382 19292 19663 21412 22472 36517 36764 37471 38584 39326 42824 69589 73034 73528 74942 78652 139178 146068 149884 157304 255619 278356 283709 292136 299768 487123 511238 556712 567418 974246 1022476 1134836 1948492 1985963 2044952 2269672 3688217 3896984 3971926 7376434 7943852 14752868 15887704 25817519 29505736 51635038 103270076 206540152