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199327440 = 243513292203
BaseRepresentation
bin10111110000101…
…11111011010000
3111220001212211210
423320113323100
5402011434230
631440140120
74640153364
oct1370277320
9456055753
10199327440
11a2573724
1256907640
13323b0140
141c6892a4
1512774eb0
hexbe17ed0

199327440 has 160 divisors (see below), whose sum is σ = 688705920. Its totient is φ = 47351808.

The previous prime is 199327417. The next prime is 199327441. The reversal of 199327440 is 44723991.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199327441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89379 + ... + 91581.

It is an arithmetic number, because the mean of its divisors is an integer number (4304412).

Almost surely, 2199327440 is an apocalyptic number.

199327440 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 199327440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344352960).

199327440 is an abundant number, since it is smaller than the sum of its proper divisors (489378480).

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

199327440 is a wasteful number, since it uses less digits than its factorization.

199327440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 199327440 is about 14118.3370125522. The cubic root of 199327440 is about 584.1472856760.

It can be divided in two parts, 19932 and 7440, that added together give a palindrome (27372).

The spelling of 199327440 in words is "one hundred ninety-nine million, three hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 39 40 48 52 58 60 65 78 80 87 104 116 120 130 145 156 174 195 208 232 240 260 290 312 348 377 390 435 464 520 580 624 696 754 780 870 1040 1131 1160 1392 1508 1560 1740 1885 2203 2262 2320 3016 3120 3480 3770 4406 4524 5655 6032 6609 6960 7540 8812 9048 11015 11310 13218 15080 17624 18096 22030 22620 26436 28639 30160 33045 35248 44060 45240 52872 57278 63887 66090 85917 88120 90480 105744 114556 127774 132180 143195 171834 176240 191661 229112 255548 264360 286390 319435 343668 383322 429585 458224 511096 528720 572780 638870 687336 766644 830531 859170 958305 1022192 1145560 1277740 1374672 1533288 1661062 1718340 1916610 2291120 2491593 2555480 3066576 3322124 3436680 3833220 4152655 4983186 5110960 6644248 6873360 7666440 8305310 9966372 12457965 13288496 15332880 16610620 19932744 24915930 33221240 39865488 49831860 66442480 99663720 199327440