Search a number
-
+
206057124 = 2232713312029
BaseRepresentation
bin11000100100000…
…10111010100100
3112100201210020100
430102002322210
5410222311444
632240304100
75051312430
oct1422027244
9470653210
10206057124
11a634a849
1259012030
13338c82c0
141d51b9c0
1513153e69
hexc482ea4

206057124 has 144 divisors (see below), whose sum is σ = 662072320. Its totient is φ = 52565760.

The previous prime is 206057113. The next prime is 206057149. The reversal of 206057124 is 421750602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100542 + ... + 102570.

Almost surely, 2206057124 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 206057124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331036160).

206057124 is an abundant number, since it is smaller than the sum of its proper divisors (456015196).

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

206057124 is a wasteful number, since it uses less digits than its factorization.

206057124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 206057124 is about 14354.6899653040. The cubic root of 206057124 is about 590.6486440858.

The spelling of 206057124 in words is "two hundred six million, fifty-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 558 651 806 819 868 1092 1116 1209 1302 1612 1638 1953 2029 2418 2604 2821 3276 3627 3906 4058 4836 5642 6087 7254 7812 8116 8463 11284 12174 14203 14508 16926 18261 24348 25389 26377 28406 33852 36522 42609 50778 52754 56812 62899 73044 79131 85218 101556 105508 125798 127827 158262 170436 184639 188697 237393 251596 255654 316524 369278 377394 440293 474786 511308 553917 566091 738556 754788 817687 880586 949572 1107834 1132182 1320879 1635374 1661751 1761172 2215668 2264364 2453061 2641758 3270748 3323502 3962637 4906122 5283516 5723809 6647004 7359183 7925274 9812244 11447618 14718366 15850548 17171427 22895236 29436732 34342854 51514281 68685708 103028562 206057124