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136801440 = 2533531667
BaseRepresentation
bin10000010011101…
…10110010100000
3100112102020022000
420021312302200
5240010121230
621324044000
73250536006
oct1011666240
9315366260
10136801440
1170247a46
1239993600
132245a4c9
1414250a76
15c023b60
hex8276ca0

136801440 has 96 divisors (see below), whose sum is σ = 478820160. Its totient is φ = 36479232.

The previous prime is 136801393. The next prime is 136801477. The reversal of 136801440 is 44108631.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11514 + ... + 20153.

It is an arithmetic number, because the mean of its divisors is an integer number (4987710).

Almost surely, 2136801440 is an apocalyptic number.

136801440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136801440 is an abundant number, since it is smaller than the sum of its proper divisors (342018720).

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

136801440 is a wasteful number, since it uses less digits than its factorization.

136801440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31691 (or 31677 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 136801440 is about 11696.2147723099. The cubic root of 136801440 is about 515.2645010740.

The spelling of 136801440 in words is "one hundred thirty-six million, eight hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 31667 63334 95001 126668 158335 190002 253336 285003 316670 380004 475005 506672 570006 633340 760008 855009 950010 1013344 1140012 1266680 1425015 1520016 1710018 1900020 2280024 2533360 2850030 3040032 3420036 3800040 4275045 4560048 5066720 5700060 6840072 7600080 8550090 9120096 11400120 13680144 15200160 17100180 22800240 27360288 34200360 45600480 68400720 136801440