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136335640 = 2357319523
BaseRepresentation
bin10000010000001…
…01000100011000
3100111112120100011
420020011010120
5234400220030
621310051304
73243556000
oct1010050430
9314476304
10136335640
116aa59a91
12397a9b34
132232649c
141416d000
15be80b2a
hex8205118

136335640 has 128 divisors (see below), whose sum is σ = 377280000. Its totient is φ = 44198784.

The previous prime is 136335637. The next prime is 136335653. The reversal of 136335640 is 46533631.

It is a congruent number.

It is an unprimeable number.

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, 260419 + ... + 260941.

It is an arithmetic number, because the mean of its divisors is an integer number (2947500).

Almost surely, 2136335640 is an apocalyptic number.

136335640 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 136335640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188640000).

136335640 is an abundant number, since it is smaller than the sum of its proper divisors (240944360).

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

136335640 is a wasteful number, since it uses less digits than its factorization.

136335640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 136335640 is about 11676.2853682154. The cubic root of 136335640 is about 514.6790220336.

The spelling of 136335640 in words is "one hundred thirty-six million, three hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 343 380 392 490 523 532 665 686 760 931 980 1046 1064 1330 1372 1715 1862 1960 2092 2615 2660 2744 3430 3661 3724 4184 4655 5230 5320 6517 6860 7322 7448 9310 9937 10460 13034 13720 14644 18305 18620 19874 20920 25627 26068 29288 32585 36610 37240 39748 49685 51254 52136 65170 69559 73220 79496 99370 102508 128135 130340 139118 146440 179389 198740 205016 256270 260680 278236 347795 358778 397480 486913 512540 556472 695590 717556 896945 973826 1025080 1391180 1435112 1793890 1947652 2434565 2782360 3408391 3587780 3895304 4869130 6816782 7175560 9738260 13633564 17041955 19476520 27267128 34083910 68167820 136335640