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196245840 = 24357199587
BaseRepresentation
bin10111011001001…
…11100101010000
3111200021022200110
423230213211100
5400214331330
631250121320
74602030210
oct1354474520
9450238613
10196245840
11a085944a
1255880240
13318715cb
141c0c6240
1512366db0
hexbb27950

196245840 has 160 divisors (see below), whose sum is σ = 699955200. Its totient is φ = 44554752.

The previous prime is 196245839. The next prime is 196245883. The reversal of 196245840 is 48542691.

196245840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 334027 + ... + 334613.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2196245840 is an apocalyptic number.

196245840 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 196245840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349977600).

196245840 is an abundant number, since it is smaller than the sum of its proper divisors (503709360).

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

196245840 is a wasteful number, since it uses less digits than its factorization.

196245840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 196245840 is about 14008.7772485681. Note that the first 3 decimals coincide. The cubic root of 196245840 is about 581.1213344528.

The spelling of 196245840 in words is "one hundred ninety-six million, two hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 199 210 240 280 336 398 420 560 587 597 796 840 995 1174 1194 1393 1592 1680 1761 1990 2348 2388 2786 2935 2985 3184 3522 3980 4109 4179 4696 4776 5572 5870 5970 6965 7044 7960 8218 8358 8805 9392 9552 11144 11740 11940 12327 13930 14088 15920 16436 16716 17610 20545 20895 22288 23480 23880 24654 27860 28176 32872 33432 35220 41090 41790 46960 47760 49308 55720 61635 65744 66864 70440 82180 83580 98616 111440 116813 123270 140880 164360 167160 197232 233626 246540 328720 334320 350439 467252 493080 584065 700878 817691 934504 986160 1168130 1401756 1635382 1752195 1869008 2336260 2453073 2803512 3270764 3504390 4088455 4672520 4906146 5607024 6541528 7008780 8176910 9345040 9812292 12265365 13083056 14017560 16353820 19624584 24530730 28035120 32707640 39249168 49061460 65415280 98122920 196245840