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64105002 = 232132343277
BaseRepresentation
bin1111010010001…
…0101000101010
311110121212112100
43310202220222
5112402330002
610205554230
71405612023
oct364425052
9143555470
1064105002
1133205045
1219575976
1310386570
148729c4a
15596411c
hex3d22a2a

64105002 has 96 divisors (see below), whose sum is σ = 160288128. Its totient is φ = 18361728.

The previous prime is 64105001. The next prime is 64105007. The reversal of 64105002 is 20050146.

It is a happy number.

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 (64105001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231288 + ... + 231564.

It is an arithmetic number, because the mean of its divisors is an integer number (1669668).

Almost surely, 264105002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64105002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80144064).

64105002 is an abundant number, since it is smaller than the sum of its proper divisors (96183126).

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

64105002 is a wasteful number, since it uses less digits than its factorization.

64105002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 361 counting only the distinct ones).

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

The square root of 64105002 is about 8006.5599354529. The cubic root of 64105002 is about 400.2186346421.

Adding to 64105002 its reverse (20050146), we get a palindrome (84155148).

The spelling of 64105002 in words is "sixty-four million, one hundred five thousand, two".

Divisors: 1 2 3 6 9 13 18 23 26 39 43 46 69 78 86 117 129 138 207 234 258 277 299 387 414 554 559 598 774 831 897 989 1118 1662 1677 1794 1978 2493 2691 2967 3354 3601 4986 5031 5382 5934 6371 7202 8901 10062 10803 11911 12742 12857 17802 19113 21606 23822 25714 32409 35733 38226 38571 57339 64818 71466 77142 82823 107199 114678 115713 154843 165646 214398 231426 248469 273953 309686 464529 496938 547906 745407 821859 929058 1393587 1490814 1643718 2465577 2787174 3561389 4931154 7122778 10684167 21368334 32052501 64105002