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9954945 = 32571113217
BaseRepresentation
bin100101111110…
…011010000001
3200201202121200
4211332122001
510022024240
6553211413
7150421110
oct45763201
920652550
109954945
11568a330
123400b69
1320a7200
141471c77
15d19930
hex97e681

9954945 has 144 divisors (see below), whose sum is σ = 24665472. Its totient is φ = 3594240.

The previous prime is 9954907. The next prime is 9954949. The reversal of 9954945 is 5494599.

9954945 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9954945 - 26 = 9954881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (291600) is a multiple of the sum of its prime factors (72).

9954945 is strictly pandigital in base 8.

9954945 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 9954945.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9954949) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 585577 + ... + 585593.

It is an arithmetic number, because the mean of its divisors is an integer number (171288).

Almost surely, 29954945 is an apocalyptic number.

It is an amenable number.

9954945 is an abundant number, since it is smaller than the sum of its proper divisors (14710527).

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

9954945 is a wasteful number, since it uses less digits than its factorization.

9954945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 56 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 9954945 is about 3155.1457969482. The cubic root of 9954945 is about 215.1194216665.

The spelling of 9954945 in words is "nine million, nine hundred fifty-four thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 11 13 15 17 21 33 35 39 45 51 55 63 65 77 85 91 99 105 117 119 143 153 165 169 187 195 221 231 255 273 315 357 385 429 455 495 507 561 585 595 663 693 715 765 819 845 935 1001 1071 1105 1155 1183 1287 1309 1365 1521 1547 1683 1785 1859 1989 2145 2431 2535 2805 2873 3003 3315 3465 3549 3927 4095 4641 5005 5355 5577 5915 6435 6545 7293 7605 7735 8415 8619 9009 9295 9945 10647 11781 12155 13013 13923 14365 15015 16731 17017 17745 19635 20111 21879 23205 25857 27885 31603 36465 39039 43095 45045 51051 53235 58905 60333 65065 69615 83655 85085 94809 100555 109395 117117 129285 153153 158015 180999 195195 221221 255255 284427 301665 474045 585585 663663 765765 904995 1106105 1422135 1990989 3318315 9954945