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1340180127 = 3311133111197
BaseRepresentation
bin100111111100001…
…1000011010011111
310110101210012112000
41033320120122133
510221041231002
6340552413343
745132225456
oct11770303237
93411705460
101340180127
11628551190
123149a7253
131848657c0
14c9dbdb9d
157c9ca61c
hex4fe1869f

1340180127 has 64 divisors (see below), whose sum is σ = 2408017920. Its totient is φ = 725500800.

The previous prime is 1340180119. The next prime is 1340180129. The reversal of 1340180127 is 7210810431.

It is not a de Polignac number, because 1340180127 - 23 = 1340180119 is a prime.

It is a super-2 number, since 2×13401801272 = 3592165545611472258, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1340180127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340180129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114093 + ... + 125289.

It is an arithmetic number, because the mean of its divisors is an integer number (37625280).

Almost surely, 21340180127 is an apocalyptic number.

1340180127 is a deficient number, since it is larger than the sum of its proper divisors (1067837793).

1340180127 is a wasteful number, since it uses less digits than its factorization.

1340180127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11261 (or 11255 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1340180127 is about 36608.4707000989. The cubic root of 1340180127 is about 1102.5231685631.

Adding to 1340180127 its reverse (7210810431), we get a palindrome (8550990558).

It can be divided in two parts, 13401 and 80127, that added together give a triangular number (93528 = T432).

The spelling of 1340180127 in words is "one billion, three hundred forty million, one hundred eighty thousand, one hundred twenty-seven".

Divisors: 1 3 9 11 13 27 31 33 39 93 99 117 143 279 297 341 351 403 429 837 1023 1209 1287 3069 3627 3861 4433 9207 10881 11197 13299 33591 39897 100773 119691 123167 145561 302319 347107 369501 436683 1041321 1108503 1310049 1601171 3123963 3325509 3818177 3930147 4512391 4803513 9371889 11454531 13537173 14410539 34363593 40611519 43231617 49636301 103090779 121834557 148908903 446726709 1340180127