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23135085 = 335409419
BaseRepresentation
bin101100001000…
…0001101101101
31121112101101000
41120100031231
521410310320
62143510513
7400434141
oct130201555
947471330
1023135085
1112071806
1278b8439
134a403cc
143103221
15206ec90
hex161036d

23135085 has 32 divisors (see below), whose sum is σ = 41328000. Its totient is φ = 12279168.

The previous prime is 23135059. The next prime is 23135107. The reversal of 23135085 is 58053132.

23135085 is a `hidden beast` number, since 231 + 350 + 85 = 666.

It is not a de Polignac number, because 23135085 - 210 = 23134061 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55006 + ... + 55424.

It is an arithmetic number, because the mean of its divisors is an integer number (1291500).

Almost surely, 223135085 is an apocalyptic number.

It is an amenable number.

23135085 is a deficient number, since it is larger than the sum of its proper divisors (18192915).

23135085 is a wasteful number, since it uses less digits than its factorization.

23135085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 23135085 is about 4809.8944894873. The cubic root of 23135085 is about 284.9423706191.

The spelling of 23135085 in words is "twenty-three million, one hundred thirty-five thousand, eighty-five".

Divisors: 1 3 5 9 15 27 45 135 409 419 1227 1257 2045 2095 3681 3771 6135 6285 11043 11313 18405 18855 55215 56565 171371 514113 856855 1542339 2570565 4627017 7711695 23135085