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13132977 = 31141323
BaseRepresentation
bin110010000110…
…010010110001
3220201020001120
4302012102301
511330223402
61145252453
7216425364
oct62062261
926636046
1013132977
117460000
124494129
13294a8c0
141a5c0db
1512463bc
hexc864b1

13132977 has 40 divisors (see below), whose sum is σ = 21645120. Its totient is φ = 7027680.

The previous prime is 13132967. The next prime is 13132979. The reversal of 13132977 is 77923131.

It is a happy number.

It is not a de Polignac number, because 13132977 - 24 = 13132961 is a prime.

It is a super-3 number, since 3×131329773 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13132979) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 570988 + ... + 571010.

It is an arithmetic number, because the mean of its divisors is an integer number (541128).

Almost surely, 213132977 is an apocalyptic number.

It is an amenable number.

13132977 is a deficient number, since it is larger than the sum of its proper divisors (8512143).

13132977 is an equidigital number, since it uses as much as digits as its factorization.

13132977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 50 counting only the distinct ones).

The product of its digits is 7938, while the sum is 33.

The square root of 13132977 is about 3623.9449499130. The cubic root of 13132977 is about 235.9324773312.

The spelling of 13132977 in words is "thirteen million, one hundred thirty-two thousand, nine hundred seventy-seven".

Divisors: 1 3 11 13 23 33 39 69 121 143 253 299 363 429 759 897 1331 1573 2783 3289 3993 4719 8349 9867 14641 17303 30613 36179 43923 51909 91839 108537 190333 336743 397969 570999 1010229 1193907 4377659 13132977