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11969685 = 3257133779
BaseRepresentation
bin101101101010…
…010010010101
3211112010022200
4231222102111
511031012220
61104315113
7203512020
oct55522225
924463280
1011969685
116836002
124012a99
132631270
1418381b7
1510b6890
hexb6a495

11969685 has 96 divisors (see below), whose sum is σ = 26557440. Its totient is φ = 4852224.

The previous prime is 11969669. The next prime is 11969687. The reversal of 11969685 is 58696911.

11969685 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11969685 - 24 = 11969669 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (116640) is a multiple of the sum of its prime divisors (144).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11969685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11969687) 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, 151476 + ... + 151554.

It is an arithmetic number, because the mean of its divisors is an integer number (276640).

Almost surely, 211969685 is an apocalyptic number.

11969685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11969685 is an abundant number, since it is smaller than the sum of its proper divisors (14587755).

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

11969685 is a wasteful number, since it uses less digits than its factorization.

11969685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 144 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 11969685 is about 3459.7232548283. The cubic root of 11969685 is about 228.7498969811.

The spelling of 11969685 in words is "eleven million, nine hundred sixty-nine thousand, six hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 35 37 39 45 63 65 79 91 105 111 117 185 195 237 259 273 315 333 395 455 481 553 555 585 711 777 819 1027 1185 1295 1365 1443 1659 1665 2331 2405 2765 2923 3081 3367 3555 3885 4095 4329 4977 5135 7189 7215 8295 8769 9243 10101 11655 14615 15405 16835 20461 21567 21645 24885 26307 30303 35945 37999 43845 46215 50505 61383 64701 102305 107835 113997 131535 151515 184149 189995 265993 306915 323505 341991 569985 797979 920745 1329965 1709955 2393937 3989895 11969685