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945054 = 233113743
BaseRepresentation
bin11100110101110011110
31210000101000
43212232132
5220220204
632131130
711014155
oct3465636
91700330
10945054
11596040
12396aa6
13271206
141a859c
1513a039
hexe6b9e

945054 has 64 divisors (see below), whose sum is σ = 2407680. Its totient is φ = 272160.

The previous prime is 945037. The next prime is 945059. The reversal of 945054 is 450549.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 945054.

It is not an unprimeable number, because it can be changed into a prime (945059) by changing a digit.

945054 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21957 + ... + 21999.

It is an arithmetic number, because the mean of its divisors is an integer number (37620).

2945054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203840).

945054 is an abundant number, since it is smaller than the sum of its proper divisors (1462626).

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

945054 is a wasteful number, since it uses less digits than its factorization.

945054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 96 counting only the distinct ones).

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

The square root of 945054 is about 972.1388789674. The cubic root of 945054 is about 98.1338584508.

The spelling of 945054 in words is "nine hundred forty-five thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 43 54 66 74 86 99 111 129 198 222 258 297 333 387 407 473 594 666 774 814 946 999 1161 1221 1419 1591 1998 2322 2442 2838 3182 3663 4257 4773 7326 8514 9546 10989 12771 14319 17501 21978 25542 28638 35002 42957 52503 85914 105006 157509 315018 472527 945054