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10064205 = 3251979149
BaseRepresentation
bin100110011001…
…000101001101
3200221022111100
4212121011031
510034023310
6555413313
7151354464
oct46310515
920838440
1010064205
115754428
123454239
132114b68
14149d9db
15d3bec0
hex99914d

10064205 has 48 divisors (see below), whose sum is σ = 18720000. Its totient is φ = 4987008.

The previous prime is 10064203. The next prime is 10064227. The reversal of 10064205 is 50246001.

It is a happy number.

10064205 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10064205 - 21 = 10064203 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 (10064203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 67471 + ... + 67619.

It is an arithmetic number, because the mean of its divisors is an integer number (390000).

Almost surely, 210064205 is an apocalyptic number.

10064205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10064205 is a deficient number, since it is larger than the sum of its proper divisors (8655795).

10064205 is a wasteful number, since it uses less digits than its factorization.

10064205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10064205 is about 3172.4131193777. The cubic root of 10064205 is about 215.9035706404.

The spelling of 10064205 in words is "ten million, sixty-four thousand, two hundred five".

Divisors: 1 3 5 9 15 19 45 57 79 95 149 171 237 285 395 447 711 745 855 1185 1341 1501 2235 2831 3555 4503 6705 7505 8493 11771 13509 14155 22515 25479 35313 42465 58855 67545 105939 127395 176565 223649 529695 670947 1118245 2012841 3354735 10064205