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245049120 = 253251671019
BaseRepresentation
bin11101001101100…
…10011100100000
3122002002210012100
432212302130200
51000213032440
640152130400
76033611631
oct1646623440
9562083170
10245049120
11116362038
126a096a00
133b9cb0a4
142478b888
15167a7230
hexe9b2720

245049120 has 144 divisors (see below), whose sum is σ = 842063040. Its totient is φ = 64891392.

The previous prime is 245049109. The next prime is 245049143. The reversal of 245049120 is 21940542.

It is a tau number, because it is divible by the number of its divisors (144).

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, 239971 + ... + 240989.

It is an arithmetic number, because the mean of its divisors is an integer number (5847660).

Almost surely, 2245049120 is an apocalyptic number.

245049120 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 245049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421031520).

245049120 is an abundant number, since it is smaller than the sum of its proper divisors (597013920).

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

245049120 is a wasteful number, since it uses less digits than its factorization.

245049120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 245049120 is about 15654.0448447039. The cubic root of 245049120 is about 625.7742894319.

Adding to 245049120 its reverse (21940542), we get a palindrome (266989662).

The spelling of 245049120 in words is "two hundred forty-five million, forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 167 180 240 288 334 360 480 501 668 720 835 1002 1019 1336 1440 1503 1670 2004 2038 2505 2672 3006 3057 3340 4008 4076 5010 5095 5344 6012 6114 6680 7515 8016 8152 9171 10020 10190 12024 12228 13360 15030 15285 16032 16304 18342 20040 20380 24048 24456 26720 30060 30570 32608 36684 40080 40760 45855 48096 48912 60120 61140 73368 80160 81520 91710 97824 120240 122280 146736 163040 170173 183420 240480 244560 293472 340346 366840 489120 510519 680692 733680 850865 1021038 1361384 1467360 1531557 1701730 2042076 2552595 2722768 3063114 3403460 4084152 5105190 5445536 6126228 6806920 7657785 8168304 10210380 12252456 13613840 15315570 16336608 20420760 24504912 27227680 30631140 40841520 49009824 61262280 81683040 122524560 245049120