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10250340320 = 2551135916223
BaseRepresentation
bin10011000101111011…
…11100011111100000
3222110100211020111002
421202331330133200
5131443041342240
64413044211132
7512004312053
oct114275743740
928410736432
1010250340320
114390060440
121ba0999aa8
13c7481ba3c
146d34caa9a
153eed5cd15
hex262f7c7e0

10250340320 has 96 divisors (see below), whose sum is σ = 26493143040. Its totient is φ = 3716784640.

The previous prime is 10250340293. The next prime is 10250340367. The reversal of 10250340320 is 2304305201.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10250340292 and 10250340301.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 623729 + ... + 639951.

It is an arithmetic number, because the mean of its divisors is an integer number (275970240).

Almost surely, 210250340320 is an apocalyptic number.

10250340320 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 10250340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13246571520).

10250340320 is an abundant number, since it is smaller than the sum of its proper divisors (16242802720).

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

10250340320 is a wasteful number, since it uses less digits than its factorization.

10250340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16608 (or 16600 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 10250340320 its reverse (2304305201), we get a palindrome (12554645521).

The spelling of 10250340320 in words is "ten billion, two hundred fifty million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 359 440 718 880 1436 1760 1795 2872 3590 3949 5744 7180 7898 11488 14360 15796 16223 19745 28720 31592 32446 39490 57440 63184 64892 78980 81115 126368 129784 157960 162230 178453 259568 315920 324460 356906 519136 631840 648920 713812 892265 1297840 1427624 1784530 2595680 2855248 3569060 5710496 5824057 7138120 11648114 14276240 23296228 28552480 29120285 46592456 58240570 64064627 93184912 116481140 128129254 186369824 232962280 256258508 320323135 465924560 512517016 640646270 931849120 1025034032 1281292540 2050068064 2562585080 5125170160 10250340320