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245301140 = 225729311949
BaseRepresentation
bin11101001111011…
…11111110010100
3122002120120220102
432213233332110
51000244114030
640201353232
76036011450
oct1647577624
9562516812
10245301140
11116514417
126a198818
133ba88a06
1424815660
1516806c45
hexe9eff94

245301140 has 96 divisors (see below), whose sum is σ = 628992000. Its totient is φ = 78543360.

The previous prime is 245301113. The next prime is 245301149. The reversal of 245301140 is 41103542.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245301149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124886 + ... + 126834.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2245301140 is an apocalyptic number.

245301140 is a gapful number since it is divisible by the number (20) 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 245301140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496000).

245301140 is an abundant number, since it is smaller than the sum of its proper divisors (383690860).

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

245301140 is a wasteful number, since it uses less digits than its factorization.

245301140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 245301140 is about 15662.0924527983. The cubic root of 245301140 is about 625.9887411341.

Adding to 245301140 its reverse (41103542), we get a palindrome (286404682).

The spelling of 245301140 in words is "two hundred forty-five million, three hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 31 35 58 62 70 116 124 140 145 155 203 217 290 310 406 434 580 620 812 868 899 1015 1085 1798 1949 2030 2170 3596 3898 4060 4340 4495 6293 7796 8990 9745 12586 13643 17980 19490 25172 27286 31465 38980 54572 56521 60419 62930 68215 113042 120838 125860 136430 226084 241676 272860 282605 302095 395647 422933 565210 604190 791294 845866 1130420 1208380 1582588 1691732 1752151 1978235 2114665 3504302 3956470 4229330 7008604 7912940 8458660 8760755 12265057 17521510 24530114 35043020 49060228 61325285 122650570 245301140