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245640120 = 233511712621
BaseRepresentation
bin11101010010000…
…10101110111000
3122010012210220020
432221002232320
51000340440440
640212530440
76041622645
oct1651025670
9563183806
10245640120
11116726070
126a320a20
133bb770ab
14248a2dcc
15168723d0
hexea42bb8

245640120 has 128 divisors (see below), whose sum is σ = 815546880. Its totient is φ = 58688000.

The previous prime is 245640079. The next prime is 245640139. The reversal of 245640120 is 21046542.

245640120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2456401202 = 120678137107228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92410 + ... + 95030.

It is an arithmetic number, because the mean of its divisors is an integer number (6371460).

Almost surely, 2245640120 is an apocalyptic number.

245640120 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 245640120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407773440).

245640120 is an abundant number, since it is smaller than the sum of its proper divisors (569906760).

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

245640120 is a wasteful number, since it uses less digits than its factorization.

245640120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 245640120 is about 15672.9103870341. The cubic root of 245640120 is about 626.2769582938.

Adding to 245640120 its reverse (21046542), we get a palindrome (266686662).

The spelling of 245640120 in words is "two hundred forty-five million, six hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 71 88 110 120 132 142 165 213 220 264 284 330 355 426 440 568 660 710 781 852 1065 1320 1420 1562 1704 2130 2343 2621 2840 3124 3905 4260 4686 5242 6248 7810 7863 8520 9372 10484 11715 13105 15620 15726 18744 20968 23430 26210 28831 31240 31452 39315 46860 52420 57662 62904 78630 86493 93720 104840 115324 144155 157260 172986 186091 230648 288310 314520 345972 372182 432465 558273 576620 691944 744364 864930 930455 1116546 1153240 1488728 1729860 1860910 2047001 2233092 2791365 3459720 3721820 4094002 4466184 5582730 6141003 7443640 8188004 10235005 11165460 12282006 16376008 20470010 22330920 24564012 30705015 40940020 49128024 61410030 81880040 122820060 245640120