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1540808136 = 2333742971
BaseRepresentation
bin101101111010110…
…1101110111001000
310222101022011102000
41123311231313020
511123421330021
6412520511000
753116440000
oct13365556710
93871264360
101540808136
11720822a5a
1237001b460
131b72ac8ba
141088c7000
159040ab26
hex5bd6ddc8

1540808136 has 160 divisors (see below), whose sum is σ = 4994743200. Its totient is φ = 440082720.

The previous prime is 1540808119. The next prime is 1540808149. The reversal of 1540808136 is 6318080451.

1540808136 is a `hidden beast` number, since 1 + 540 + 8 + 0 + 81 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1540808136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 517131 + ... + 520101.

It is an arithmetic number, because the mean of its divisors is an integer number (31217145).

Almost surely, 21540808136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540808136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497371600).

1540808136 is an abundant number, since it is smaller than the sum of its proper divisors (3453935064).

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

1540808136 is an equidigital number, since it uses as much as digits as its factorization.

1540808136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1540808136 is about 39253.1289962979. The cubic root of 1540808136 is about 1155.0023140450.

Adding to 1540808136 its reverse (6318080451), we get a palindrome (7858888587).

The spelling of 1540808136 in words is "one billion, five hundred forty million, eight hundred eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 756 882 1029 1176 1323 1372 1512 1764 2058 2401 2646 2744 2971 3087 3528 4116 4802 5292 5942 6174 7203 8232 8913 9261 9604 10584 11884 12348 14406 17826 18522 19208 20797 21609 23768 24696 26739 28812 35652 37044 41594 43218 53478 57624 62391 64827 71304 74088 80217 83188 86436 106956 124782 129654 145579 160434 166376 172872 187173 213912 249564 259308 291158 320868 374346 436737 499128 518616 561519 582316 641736 748692 873474 1019053 1123038 1164632 1310211 1497384 1746948 2038106 2246076 2620422 3057159 3493896 3930633 4076212 4492152 5240844 6114318 7133371 7861266 8152424 9171477 10481688 12228636 14266742 15722532 18342954 21400113 24457272 27514431 28533484 31445064 36685908 42800226 55028862 57066968 64200339 73371816 85600452 110057724 128400678 171200904 192601017 220115448 256801356 385202034 513602712 770404068 1540808136