Search a number
-
+
1835690168 = 231331923239
BaseRepresentation
bin110110101101010…
…0110100010111000
311201221011201111202
41231122212202320
512224414041133
6502053113332
763330052244
oct15532464270
94657151452
101835690168
11862221214
12432928848
13233408000
14135b27424
15ab2582e8
hex6d6a68b8

1835690168 has 128 divisors (see below), whose sum is σ = 4112640000. Its totient is φ = 764539776.

The previous prime is 1835690159. The next prime is 1835690249. The reversal of 1835690168 is 8610965381.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7680593 + ... + 7680831.

It is an arithmetic number, because the mean of its divisors is an integer number (32130000).

Almost surely, 21835690168 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 1835690168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056320000).

1835690168 is an abundant number, since it is smaller than the sum of its proper divisors (2276949832).

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

1835690168 is a wasteful number, since it uses less digits than its factorization.

1835690168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The square root of 1835690168 is about 42844.9549888899. The cubic root of 1835690168 is about 1224.4276472143.

The spelling of 1835690168 in words is "one billion, eight hundred thirty-five million, six hundred ninety thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 19 23 26 38 46 52 76 92 104 152 169 184 239 247 299 338 437 478 494 598 676 874 956 988 1196 1352 1748 1912 1976 2197 2392 3107 3211 3496 3887 4394 4541 5497 5681 6214 6422 7774 8788 9082 10994 11362 12428 12844 15548 17576 18164 21988 22724 24856 25688 31096 36328 40391 41743 43976 45448 50531 59033 71461 73853 80782 83486 101062 104443 118066 142922 147706 161564 166972 202124 208886 236132 285844 295412 323128 333944 404248 417772 472264 525083 571688 590824 767429 835544 928993 960089 1050166 1357759 1534858 1857986 1920178 2100332 2715518 3069716 3715972 3840356 4200664 5431036 6139432 7431944 7680712 9976577 10862072 12076909 17650867 19953154 24153818 35301734 39906308 48307636 70603468 79812616 96615272 141206936 229461271 458922542 917845084 1835690168