Search a number
-
+
45103800 = 23352710739
BaseRepresentation
bin1010110000001…
…1101010111000
310010212111210010
42230003222320
543021310200
64250421520
71055242650
oct254035270
9103774703
1045103800
1123507175
12131318a0
139462951
145dc1360
153e5e150
hex2b03ab8

45103800 has 96 divisors (see below), whose sum is σ = 159811200. Its totient is φ = 10308480.

The previous prime is 45103769. The next prime is 45103811. The reversal of 45103800 is 830154.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1170 + ... + 9569.

It is an arithmetic number, because the mean of its divisors is an integer number (1664700).

Almost surely, 245103800 is an apocalyptic number.

45103800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45103800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79905600).

45103800 is an abundant number, since it is smaller than the sum of its proper divisors (114707400).

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

45103800 is a wasteful number, since it uses less digits than its factorization.

45103800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10765 (or 10756 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 45103800 is about 6715.9362712879. The cubic root of 45103800 is about 355.9626060121.

Adding to 45103800 its reverse (830154), we get a palindrome (45933954).

The spelling of 45103800 in words is "forty-five million, one hundred three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 10739 21478 32217 42956 53695 64434 75173 85912 107390 128868 150346 161085 214780 225519 257736 268475 300692 322170 375865 429560 451038 536950 601384 644340 751730 805425 902076 1073900 1127595 1288680 1503460 1610850 1804152 1879325 2147800 2255190 3006920 3221700 3758650 4510380 5637975 6443400 7517300 9020760 11275950 15034600 22551900 45103800