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199387440 = 24335713187
BaseRepresentation
bin10111110001001…
…10100100110000
3111220011221011000
423320212210300
5402020344230
631441322000
74640523330
oct1370464460
9456157130
10199387440
11a260480a
1256936300
1332401545
141c6a30c0
1512787b60
hexbe26930

199387440 has 160 divisors (see below), whose sum is σ = 784949760. Its totient is φ = 45570816.

The previous prime is 199387439. The next prime is 199387451. The reversal of 199387440 is 44783991.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8527 + ... + 21713.

It is an arithmetic number, because the mean of its divisors is an integer number (4905936).

Almost surely, 2199387440 is an apocalyptic number.

199387440 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 199387440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392474880).

199387440 is an abundant number, since it is smaller than the sum of its proper divisors (585562320).

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

199387440 is a wasteful number, since it uses less digits than its factorization.

199387440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13216 (or 13204 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 199387440 is about 14120.4617488239. The cubic root of 199387440 is about 584.2058916245.

The spelling of 199387440 in words is "one hundred ninety-nine million, three hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 13187 15120 26374 39561 52748 65935 79122 92309 105496 118683 131870 158244 184618 197805 210992 237366 263740 276927 316488 356049 369236 395610 461545 474732 527480 553854 593415 632976 712098 738472 791220 830781 923090 949464 1054960 1107708 1186830 1384635 1424196 1476944 1582440 1661562 1780245 1846180 1898928 2215416 2373660 2492343 2769270 2848392 3164880 3323124 3560490 3692360 4153905 4430832 4747320 4984686 5538540 5696784 6646248 7120980 7384720 8307810 9494640 9969372 11077080 12461715 13292496 14241960 16615620 19938744 22154160 24923430 28483920 33231240 39877488 49846860 66462480 99693720 199387440