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5006106 = 232767593
BaseRepresentation
bin10011000110001100011010
3100102100002100
4103012030122
52240143411
6255144230
760360030
oct23061432
910370070
105006106
11290a186
121815076
1310637c1
14944550
1568d456
hex4c631a

5006106 has 48 divisors (see below), whose sum is σ = 12602304. Its totient is φ = 1406592.

The previous prime is 5006083. The next prime is 5006119. The reversal of 5006106 is 6016005.

5006106 is a `hidden beast` number, since 50 + 0 + 610 + 6 = 666.

It is a super-2 number, since 2×50061062 = 50122194566472, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8146 + ... + 8738.

It is an arithmetic number, because the mean of its divisors is an integer number (262548).

Almost surely, 25006106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301152).

5006106 is an abundant number, since it is smaller than the sum of its proper divisors (7596198).

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

5006106 is a wasteful number, since it uses less digits than its factorization.

5006106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5006106 is about 2237.4329040219. The cubic root of 5006106 is about 171.0671737729.

The spelling of 5006106 in words is "five million, six thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 593 603 938 1186 1206 1407 1779 2814 3558 4151 4221 5337 8302 8442 10674 12453 24906 37359 39731 74718 79462 119193 238386 278117 357579 556234 715158 834351 1668702 2503053 5006106