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136405890 = 23353143379
BaseRepresentation
bin10000010000101…
…10001110000010
3100111200010201000
420020112032002
5234404442030
621311352430
73244300545
oct1010261602
9314603630
10136405890
116aaa7845
1239822716
132234c45a
141418a85c
15be96860
hex8216382

136405890 has 128 divisors (see below), whose sum is σ = 385228800. Its totient is φ = 34292160.

The previous prime is 136405877. The next prime is 136405931. The reversal of 136405890 is 98504631.

136405890 is a `hidden beast` number, since 1 + 3 + 640 + 5 + 8 + 9 + 0 = 666.

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, 359721 + ... + 360099.

It is an arithmetic number, because the mean of its divisors is an integer number (3009600).

Almost surely, 2136405890 is an apocalyptic number.

136405890 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 136405890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192614400).

136405890 is an abundant number, since it is smaller than the sum of its proper divisors (248822910).

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

136405890 is a wasteful number, since it uses less digits than its factorization.

136405890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 136405890 is about 11679.2932149167. The cubic root of 136405890 is about 514.7674068291.

The spelling of 136405890 in words is "one hundred thirty-six million, four hundred five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 43 45 54 62 86 90 93 129 135 155 186 215 258 270 279 310 379 387 430 465 558 645 758 774 837 930 1137 1161 1290 1333 1395 1674 1895 1935 2274 2322 2666 2790 3411 3790 3870 3999 4185 5685 5805 6665 6822 7998 8370 10233 11370 11610 11749 11997 13330 16297 17055 19995 20466 23498 23994 32594 34110 35247 35991 39990 48891 51165 58745 59985 70494 71982 81485 97782 102330 105741 117490 119970 146673 162970 176235 179955 211482 244455 293346 317223 352470 359910 440019 488910 505207 528705 634446 733365 880038 1010414 1057410 1466730 1515621 1586115 2200095 2526035 3031242 3172230 4400190 4546863 5052070 7578105 9093726 13640589 15156210 22734315 27281178 45468630 68202945 136405890