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136450440 = 23335718049
BaseRepresentation
bin10000010001000…
…01000110001000
3100111202101211000
420020201012020
5234412403230
621312335000
73244544460
oct1010410610
9314671730
10136450440
1170028265
1239844460
1322366809
141419cba0
15bea4b60
hex8221188

136450440 has 128 divisors (see below), whose sum is σ = 519840000. Its totient is φ = 31186944.

The previous prime is 136450429. The next prime is 136450441. The reversal of 136450440 is 44054631.

136450440 is a `hidden beast` number, since 13 + 645 + 0 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (136450441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1465 + ... + 16584.

It is an arithmetic number, because the mean of its divisors is an integer number (4061250).

Almost surely, 2136450440 is an apocalyptic number.

136450440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136450440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259920000).

136450440 is an abundant number, since it is smaller than the sum of its proper divisors (383389560).

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

136450440 is a wasteful number, since it uses less digits than its factorization.

136450440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18076 (or 18066 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 136450440 is about 11681.2002807931. The cubic root of 136450440 is about 514.8234415350.

The spelling of 136450440 in words is "one hundred thirty-six million, four hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 18049 36098 54147 72196 90245 108294 126343 144392 162441 180490 216588 252686 270735 324882 360980 379029 433176 487323 505372 541470 631715 649764 721960 758058 812205 974646 1010744 1082940 1137087 1263430 1299528 1516116 1624410 1895145 1949292 2165880 2274174 2436615 2526860 3032232 3248820 3411261 3790290 3898584 4548348 4873230 5053720 5685435 6497640 6822522 7580580 9096696 9746460 11370870 13645044 15161160 17056305 19492920 22741740 27290088 34112610 45483480 68225220 136450440