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9956166 = 2311251601
BaseRepresentation
bin100101111110…
…101101000110
3200201211021220
4211332231012
510022044131
6553221210
7150424503
oct45765506
920654256
109956166
115690240
123401806
1320a792c
1414724aa
15d19e96
hex97eb46

9956166 has 32 divisors (see below), whose sum is σ = 21845376. Its totient is φ = 3000000.

The previous prime is 9956161. The next prime is 9956189. The reversal of 9956166 is 6616599.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9956161) 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, 16266 + ... + 16866.

It is an arithmetic number, because the mean of its divisors is an integer number (682668).

Almost surely, 29956166 is an apocalyptic number.

9956166 is an abundant number, since it is smaller than the sum of its proper divisors (11889210).

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

9956166 is a wasteful number, since it uses less digits than its factorization.

9956166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868.

The product of its digits is 87480, while the sum is 42.

The square root of 9956166 is about 3155.3392844510. The cubic root of 9956166 is about 215.1282162933.

It can be divided in two parts, 995616 and 6, that multiplied together give a triangular number (5973696 = T3456).

The spelling of 9956166 in words is "nine million, nine hundred fifty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 251 502 601 753 1202 1506 1803 2761 3606 5522 6611 8283 13222 16566 19833 39666 150851 301702 452553 905106 1659361 3318722 4978083 9956166