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199464720 = 24357139133
BaseRepresentation
bin10111110001110…
…01011100010000
3111220022212011020
423320321130100
5402030332340
631443115440
74641264540
oct1370713420
9456285136
10199464720
11a2657884
1256972b80
133242a780
141c6c3320
15127a09d0
hexbe39710

199464720 has 160 divisors (see below), whose sum is σ = 761117952. Its totient is φ = 42080256.

The previous prime is 199464709. The next prime is 199464767. The reversal of 199464720 is 27464991.

199464720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 17274 + ... + 26406.

Almost surely, 2199464720 is an apocalyptic number.

199464720 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 199464720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380558976).

199464720 is an abundant number, since it is smaller than the sum of its proper divisors (561653232).

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

199464720 is a wasteful number, since it uses less digits than its factorization.

199464720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9169 (or 9163 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 199464720 is about 14123.1979381442. The cubic root of 199464720 is about 584.2813587647.

The spelling of 199464720 in words is "one hundred ninety-nine million, four hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 7280 9133 10920 18266 21840 27399 36532 45665 54798 63931 73064 91330 109596 118729 127862 136995 146128 182660 191793 219192 237458 255724 273990 319655 356187 365320 383586 438384 474916 511448 547980 593645 639310 712374 730640 767172 831103 949832 958965 1022896 1095960 1187290 1278620 1424748 1534344 1662206 1780935 1899664 1917930 2191920 2374580 2493309 2557240 2849496 3068688 3324412 3561870 3835860 4155515 4749160 4986618 5114480 5698992 6648824 7123740 7671720 8311030 9498320 9973236 12466545 13297648 14247480 15343440 16622060 19946472 24933090 28494960 33244120 39892944 49866180 66488240 99732360 199464720