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245040000 = 273541021
BaseRepresentation
bin11101001101100…
…00001110000000
3122002002022200120
432212300032000
51000212240000
640152020240
76033543222
oct1646601600
9562068616
10245040000
111163561a7
126a091680
133b9c6baa
1424788412
15167a46a0
hexe9b0380

245040000 has 160 divisors (see below), whose sum is σ = 814145640. Its totient is φ = 65280000.

The previous prime is 245039969. The next prime is 245040001. The reversal of 245040000 is 40542.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239490 + ... + 240510.

Almost surely, 2245040000 is an apocalyptic number.

245040000 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 245040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407072820).

245040000 is an abundant number, since it is smaller than the sum of its proper divisors (569105640).

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

245040000 is an equidigital number, since it uses as much as digits as its factorization.

245040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 245040000 is about 15653.7535434796. The cubic root of 245040000 is about 625.7665261825.

Adding to 245040000 its reverse (40542), we get a palindrome (245080542).

The spelling of 245040000 in words is "two hundred forty-five million, forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1021 1200 1250 1500 1600 1875 1920 2000 2042 2400 2500 3000 3063 3200 3750 4000 4084 4800 5000 5105 6000 6126 7500 8000 8168 9600 10000 10210 12000 12252 15000 15315 16000 16336 20000 20420 24000 24504 25525 30000 30630 32672 40000 40840 48000 49008 51050 60000 61260 65344 76575 80000 81680 98016 102100 120000 122520 127625 130688 153150 163360 196032 204200 240000 245040 255250 306300 326720 382875 392064 408400 490080 510500 612600 638125 653440 765750 816800 980160 1021000 1225200 1276250 1531500 1633600 1914375 1960320 2042000 2450400 2552500 3063000 3267200 3828750 4084000 4900800 5105000 6126000 7657500 8168000 9801600 10210000 12252000 15315000 16336000 20420000 24504000 30630000 40840000 49008000 61260000 81680000 122520000 245040000