Search a number
-
+
204537690 = 23357313491
BaseRepresentation
bin11000011000011…
…11111101011010
3112020212120222000
430030033331122
5404330201230
632143541430
75032353540
oct1414177532
9466776860
10204537690
11a5502215
12585ba876
13334b5826
141d243d90
1512e53b60
hexc30ff5a

204537690 has 128 divisors (see below), whose sum is σ = 643645440. Its totient is φ = 45230400.

The previous prime is 204537661. The next prime is 204537743. The reversal of 204537690 is 96735402.

It is a super-2 number, since 2×2045376902 = 83671333261072200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56845 + ... + 60335.

It is an arithmetic number, because the mean of its divisors is an integer number (5028480).

Almost surely, 2204537690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204537690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321822720).

204537690 is an abundant number, since it is smaller than the sum of its proper divisors (439107750).

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

204537690 is a wasteful number, since it uses less digits than its factorization.

204537690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 204537690 is about 14301.6673853086. The cubic root of 204537690 is about 589.1932764569.

The spelling of 204537690 in words is "two hundred four million, five hundred thirty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 90 93 105 126 135 155 186 189 210 217 270 279 310 315 378 434 465 558 630 651 837 930 945 1085 1302 1395 1674 1890 1953 2170 2790 3255 3491 3906 4185 5859 6510 6982 8370 9765 10473 11718 17455 19530 20946 24437 29295 31419 34910 48874 52365 58590 62838 73311 94257 104730 108221 122185 146622 157095 188514 216442 219933 244370 314190 324663 366555 439866 471285 541105 649326 659799 733110 757547 942570 973989 1082210 1099665 1319598 1515094 1623315 1947978 2199330 2272641 2921967 3246630 3298995 3787735 4545282 4869945 5843934 6597990 6817923 7575470 9739890 11363205 13635846 14609835 20453769 22726410 29219670 34089615 40907538 68179230 102268845 204537690