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9956947 = 74111329
BaseRepresentation
bin100101111110…
…111001010011
3200201212100211
4211332321103
510022110242
6553224551
7150430000
oct45767123
920655324
109956947
115690890
123402157
1320a80b0
1414728a7
15d1a317
hex97ee53

9956947 has 40 divisors (see below), whose sum is σ = 14117040. Its totient is φ = 6914880.

The previous prime is 9956941. The next prime is 9956963. The reversal of 9956947 is 7496599.

9956947 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9956947 - 23 = 9956939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

Its product of digits (612360) is a multiple of the sum of its prime divisors (60).

9956947 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 9956947.

It is not an unprimeable number, because it can be changed into a prime (9956941) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343329 + ... + 343357.

It is an arithmetic number, because the mean of its divisors is an integer number (352926).

Almost surely, 29956947 is an apocalyptic number.

9956947 is a deficient number, since it is larger than the sum of its proper divisors (4160093).

9956947 is a wasteful number, since it uses less digits than its factorization.

9956947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its digits is 612360, while the sum is 49.

The square root of 9956947 is about 3155.4630405061. The cubic root of 9956947 is about 215.1338413081.

9956947 divided by its sum of digits (49) gives a triangular number (203203 = T637).

The spelling of 9956947 in words is "nine million, nine hundred fifty-six thousand, nine hundred forty-seven".

Divisors: 1 7 11 13 29 49 77 91 143 203 319 343 377 539 637 1001 1421 2233 2401 2639 3773 4147 4459 7007 9947 15631 18473 26411 29029 31213 49049 69629 109417 129311 203203 343343 765919 905177 1422421 9956947