Search a number
-
+
45102780 = 223251271973
BaseRepresentation
bin1010110000001…
…1011010111100
310010212110101100
42230003122330
543021242110
64250413100
71055236662
oct254033274
9103773340
1045102780
1123506428
1213131190
139462348
145dc0c32
153e5dbc0
hex2b036bc

45102780 has 72 divisors (see below), whose sum is σ = 137958912. Its totient is φ = 11926656.

The previous prime is 45102779. The next prime is 45102791. The reversal of 45102780 is 8720154.

45102780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 21874 + ... + 23846.

It is an arithmetic number, because the mean of its divisors is an integer number (1916096).

Almost surely, 245102780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45102780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68979456).

45102780 is an abundant number, since it is smaller than the sum of its proper divisors (92856132).

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

45102780 is a wasteful number, since it uses less digits than its factorization.

45102780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 45102780 is about 6715.8603320796. The cubic root of 45102780 is about 355.9599226861.

The spelling of 45102780 in words is "forty-five million, one hundred two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 1973 2286 2540 3810 3946 4572 5715 5919 7620 7892 9865 11430 11838 17757 19730 22860 23676 29595 35514 39460 59190 71028 88785 118380 177570 250571 355140 501142 751713 1002284 1252855 1503426 2255139 2505710 3006852 3758565 4510278 5011420 7517130 9020556 11275695 15034260 22551390 45102780