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9995106 = 2311374093
BaseRepresentation
bin100110001000…
…001101100010
3200210210201010
4212020031202
510024320411
6554121350
7150646152
oct46101542
920723633
109995106
115707520
123420256
1320bc584
141482762
15d267a6
hex988362

9995106 has 32 divisors (see below), whose sum is σ = 22402368. Its totient is φ = 2946240.

The previous prime is 9995101. The next prime is 9995107. The reversal of 9995106 is 6015999.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9995101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396 + ... + 4488.

It is an arithmetic number, because the mean of its divisors is an integer number (700074).

Almost surely, 29995106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9995106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11201184).

9995106 is an abundant number, since it is smaller than the sum of its proper divisors (12407262).

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

9995106 is a wasteful number, since it uses less digits than its factorization.

9995106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146.

The product of its (nonzero) digits is 21870, while the sum is 39.

The square root of 9995106 is about 3161.5037561262. The cubic root of 9995106 is about 215.4083172569.

It can be divided in two parts, 9995 and 106, that added together give a palindrome (10101).

The spelling of 9995106 in words is "nine million, nine hundred ninety-five thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 4093 8186 12279 24558 45023 90046 135069 151441 270138 302882 454323 908646 1665851 3331702 4997553 9995106