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3136007 = 71719273
BaseRepresentation
bin1011111101101000000111
312220022210102
423331220013
51300323012
6151114315
735440610
oct13755007
95808712
103136007
111852146
12107299b
1385a534
145b8c07
1541e2c2
hex2fda07

3136007 has 24 divisors (see below), whose sum is σ = 4059936. Its totient is φ = 2363904.

The previous prime is 3135983. The next prime is 3136019. The reversal of 3136007 is 7006313.

It is not a de Polignac number, because 3136007 - 26 = 3135943 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3136007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3136037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42923 + ... + 42995.

It is an arithmetic number, because the mean of its divisors is an integer number (169164).

Almost surely, 23136007 is an apocalyptic number.

3136007 is a deficient number, since it is larger than the sum of its proper divisors (923929).

3136007 is a wasteful number, since it uses less digits than its factorization.

3136007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 3136007 is about 1770.8774661167. The cubic root of 3136007 is about 146.3723373087.

The spelling of 3136007 in words is "three million, one hundred thirty-six thousand, seven".

Divisors: 1 7 17 19 73 119 133 323 361 511 1241 1387 2261 2527 6137 8687 9709 23579 26353 42959 165053 184471 448001 3136007