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9941106 = 2372341251
BaseRepresentation
bin100101111011…
…000001110010
3200201001122010
4211323001302
510021103411
6553023350
7150332550
oct45730162
920631563
109941106
11567a99a
1233b4b56
1320a0b16
14146abd0
15d157a6
hex97b072

9941106 has 64 divisors (see below), whose sum is σ = 24385536. Its totient is φ = 2640000.

The previous prime is 9941101. The next prime is 9941143. The reversal of 9941106 is 6011499.

9941106 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

9941106 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9941101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39481 + ... + 39731.

It is an arithmetic number, because the mean of its divisors is an integer number (381024).

Almost surely, 29941106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9941106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192768).

9941106 is an abundant number, since it is smaller than the sum of its proper divisors (14444430).

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

9941106 is a wasteful number, since it uses less digits than its factorization.

9941106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 9941106 is about 3152.9519501572. The cubic root of 9941106 is about 215.0196917244.

The spelling of 9941106 in words is "nine million, nine hundred forty-one thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 23 41 42 46 69 82 123 138 161 246 251 287 322 483 502 574 753 861 943 966 1506 1722 1757 1886 2829 3514 5271 5658 5773 6601 10291 10542 11546 13202 17319 19803 20582 30873 34638 39606 40411 61746 72037 80822 121233 144074 216111 236693 242466 432222 473386 710079 1420158 1656851 3313702 4970553 9941106