Search a number
-
+
1845480140 = 225725335531
BaseRepresentation
bin110110111111111…
…1100101011001100
311202121121002211022
41231333330223030
512234420331030
6503043013312
763506215400
oct15577745314
94677532738
101845480140
118677a85a9
1243606a238
132354550aa
14137155100
15ac03dde5
hex6dffcacc

1845480140 has 72 divisors (see below), whose sum is σ = 4593434832. Its totient is φ = 620780160.

The previous prime is 1845480139. The next prime is 1845480229. The reversal of 1845480140 is 410845481.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1845480140.

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, 34175 + ... + 69705.

It is an arithmetic number, because the mean of its divisors is an integer number (63797706).

Almost surely, 21845480140 is an apocalyptic number.

1845480140 is a gapful number since it is divisible by the number (10) 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 1845480140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296717416).

1845480140 is an abundant number, since it is smaller than the sum of its proper divisors (2747954692).

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

1845480140 is a wasteful number, since it uses less digits than its factorization.

1845480140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35607 (or 35598 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 1845480140 is about 42959.0518982903. The cubic root of 1845480140 is about 1226.6004658994.

The spelling of 1845480140 in words is "one billion, eight hundred forty-five million, four hundred eighty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 980 1060 1484 1855 2597 3710 5194 7420 10388 12985 25970 35531 51940 71062 142124 177655 248717 355310 497434 710620 994868 1243585 1741019 1883143 2487170 3482038 3766286 4974340 6964076 7532572 8705095 9415715 13182001 17410190 18831430 26364002 34820380 37662860 52728004 65910005 92274007 131820010 184548014 263640020 369096028 461370035 922740070 1845480140