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11138985 = 3351113577
BaseRepresentation
bin101010011111…
…011110101001
3202221220211000
4222133132221
510322421420
61034425213
7163452114
oct52373651
922856730
1011138985
116318980
123892209
132400120
14169d57b
15ea0690
hexa9f7a9

11138985 has 64 divisors (see below), whose sum is σ = 23304960. Its totient is φ = 4976640.

The previous prime is 11138983. The next prime is 11138989. The reversal of 11138985 is 58983111.

It is not a de Polignac number, because 11138985 - 21 = 11138983 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11138983) 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, 19017 + ... + 19593.

It is an arithmetic number, because the mean of its divisors is an integer number (364140).

Almost surely, 211138985 is an apocalyptic number.

11138985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11138985 is an abundant number, since it is smaller than the sum of its proper divisors (12165975).

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

11138985 is a wasteful number, since it uses less digits than its factorization.

11138985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The square root of 11138985 is about 3337.5117977320. The cubic root of 11138985 is about 223.3307578723.

The spelling of 11138985 in words is "eleven million, one hundred thirty-eight thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 135 143 165 195 297 351 429 495 577 585 715 1287 1485 1731 1755 2145 2885 3861 5193 6347 6435 7501 8655 15579 19041 19305 22503 25965 31735 37505 57123 67509 77895 82511 95205 112515 171369 202527 247533 285615 337545 412555 742599 856845 1012635 1237665 2227797 3712995 11138985