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9054045 = 3357111367
BaseRepresentation
bin100010100010…
…011101011101
3122000222211000
4202202131131
54304212140
6522020513
7136646430
oct42423535
918028730
109054045
115124490
123047739
131b50130
1412b9817
15bdca30
hex8a275d

9054045 has 128 divisors (see below), whose sum is σ = 21934080. Its totient is φ = 3421440.

The previous prime is 9054029. The next prime is 9054049. The reversal of 9054045 is 5404509.

9054045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9054045 - 24 = 9054029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9054049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135102 + ... + 135168.

It is an arithmetic number, because the mean of its divisors is an integer number (171360).

Almost surely, 29054045 is an apocalyptic number.

9054045 is the 2457-th pentagonal number.

It is an amenable number.

9054045 is an abundant number, since it is smaller than the sum of its proper divisors (12880035).

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

9054045 is a wasteful number, since it uses less digits than its factorization.

9054045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 9054045 is about 3008.9940179402. The cubic root of 9054045 is about 208.4239150989.

It can be divided in two parts, 905 and 4045, that added together give a triangular number (4950 = T99).

The spelling of 9054045 in words is "nine million, fifty-four thousand, forty-five".

Divisors: 1 3 5 7 9 11 13 15 21 27 33 35 39 45 55 63 65 67 77 91 99 105 117 135 143 165 189 195 201 231 273 297 315 335 351 385 429 455 469 495 585 603 693 715 737 819 871 945 1001 1005 1155 1287 1365 1407 1485 1755 1809 2079 2145 2211 2345 2457 2613 3003 3015 3465 3685 3861 4095 4221 4355 5005 5159 6097 6435 6633 7035 7839 9009 9045 9581 10395 11055 12285 12663 13065 15015 15477 18291 19305 19899 21105 23517 25795 27027 28743 30485 33165 39195 45045 46431 47905 54873 63315 67067 77385 86229 91455 99495 117585 135135 139293 143715 164619 201201 232155 258687 274365 335335 431145 603603 696465 823095 1006005 1293435 1810809 3018015 9054045