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136890810 = 2345723449
BaseRepresentation
bin10000010100011…
…00100110111010
3100112120202220000
420022030212322
5240021001220
621330013430
73251360400
oct1012144672
9315522800
10136890810
11702a9101
1239a17276
132248c0a4
1414275470
15c040390
hex828c9ba

136890810 has 120 divisors (see below), whose sum is σ = 428303700. Its totient is φ = 31280256.

The previous prime is 136890791. The next prime is 136890857. The reversal of 136890810 is 18098631.

It can be written as a sum of positive squares in 2 ways, for example, as 113358609 + 23532201 = 10647^2 + 4851^2 .

It is a super-2 number, since 2×1368908102 = 37478187724912200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37966 + ... + 41414.

Almost surely, 2136890810 is an apocalyptic number.

136890810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136890810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214151850).

136890810 is an abundant number, since it is smaller than the sum of its proper divisors (291412890).

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

136890810 is a wasteful number, since it uses less digits than its factorization.

136890810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 136890810 is about 11700.0346153334. The cubic root of 136890810 is about 515.3766810929.

It can be divided in two parts, 136890 and 810, that multiplied together give a square (110880900 = 105302).

The spelling of 136890810 in words is "one hundred thirty-six million, eight hundred ninety thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 378 405 441 490 567 630 735 810 882 945 1134 1323 1470 1890 2205 2646 2835 3449 3969 4410 5670 6615 6898 7938 10347 13230 17245 19845 20694 24143 31041 34490 39690 48286 51735 62082 72429 93123 103470 120715 144858 155205 169001 186246 217287 241430 279369 310410 338002 362145 434574 465615 507003 558738 651861 724290 845005 931230 1014006 1086435 1303722 1396845 1521009 1690010 1955583 2172870 2535015 2793690 3042018 3259305 3911166 4563027 5070030 6518610 7605045 9126054 9777915 13689081 15210090 19555830 22815135 27378162 45630270 68445405 136890810