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12640095 = 32513173141
BaseRepresentation
bin110000001101…
…111101011111
3212210011221200
4300031331133
511213440340
61130530543
7212303406
oct60157537
925704850
1012640095
117153766
124296a53
132807460
14197063d
15119a330
hexc0df5f

12640095 has 96 divisors (see below), whose sum is σ = 26417664. Its totient is φ = 5529600.

The previous prime is 12640093. The next prime is 12640097. The reversal of 12640095 is 59004621.

12640095 is a `hidden beast` number, since 12 + 640 + 0 + 9 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (12640093) and next prime (12640097).

It is not a de Polignac number, because 12640095 - 21 = 12640093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12640091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 308275 + ... + 308315.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

It is a vampire number, since it can be written as 20916045 (with its own digits).

Almost surely, 212640095 is an apocalyptic number.

12640095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12640095 is an abundant number, since it is smaller than the sum of its proper divisors (13777569).

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

12640095 is a wasteful number, since it uses less digits than its factorization.

12640095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12640095 is about 3555.2911273200. The cubic root of 12640095 is about 232.9432404861.

The spelling of 12640095 in words is "twelve million, six hundred forty thousand, ninety-five".

Divisors: 1 3 5 9 13 15 17 31 39 41 45 51 65 85 93 117 123 153 155 195 205 221 255 279 369 403 465 527 533 585 615 663 697 765 1105 1209 1271 1395 1581 1599 1845 1989 2015 2091 2635 2665 3315 3485 3627 3813 4743 4797 6045 6273 6355 6851 7905 7995 9061 9945 10455 11439 16523 18135 19065 20553 21607 23715 23985 27183 31365 34255 45305 49569 57195 61659 64821 81549 82615 102765 108035 135915 148707 194463 247845 280891 308295 324105 407745 743535 842673 972315 1404455 2528019 4213365 12640095