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10064106 = 23213411049
BaseRepresentation
bin100110011001…
…000011101010
3200221022100200
4212121003222
510034022411
6555413030
7151354263
oct46310352
920838320
1010064106
115754348
123454176
132114ac0
14149d96a
15d3be56
hex9990ea

10064106 has 48 divisors (see below), whose sum is σ = 24078600. Its totient is φ = 3018240.

The previous prime is 10064101. The next prime is 10064123. The reversal of 10064106 is 60146001.

It can be written as a sum of positive squares in 4 ways, for example, as 6548481 + 3515625 = 2559^2 + 1875^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10064101) 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 23 ways as a sum of consecutive naturals, for example, 9070 + ... + 10118.

Almost surely, 210064106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10064106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039300).

10064106 is an abundant number, since it is smaller than the sum of its proper divisors (14014494).

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

10064106 is a wasteful number, since it uses less digits than its factorization.

10064106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10064106 is about 3172.3975160752. The cubic root of 10064106 is about 215.9028627016.

The spelling of 10064106 in words is "ten million, sixty-four thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1049 1066 1599 2098 3147 3198 4797 6294 9441 9594 13637 18882 27274 40911 43009 81822 86018 122733 129027 245466 258054 387081 559117 774162 1118234 1677351 3354702 5032053 10064106