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199042480 = 245713191439
BaseRepresentation
bin10111101110100…
…10010110110000
3111212112101221201
423313102112300
5401423324410
631430100544
74634555530
oct1367222660
9455471851
10199042480
11a239961a
12567aa754
1332310520
141c6134c0
151271a83a
hexbdd25b0

199042480 has 160 divisors (see below), whose sum is σ = 599961600. Its totient is φ = 59636736.

The previous prime is 199042471. The next prime is 199042489. The reversal of 199042480 is 84240991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (199042471) and next prime (199042489).

It is not an unprimeable number, because it can be changed into a prime (199042489) 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, 137601 + ... + 139039.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2199042480 is an apocalyptic number.

199042480 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 199042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299980800).

199042480 is an abundant number, since it is smaller than the sum of its proper divisors (400919120).

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

199042480 is a wasteful number, since it uses less digits than its factorization.

199042480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 199042480 is about 14108.2415630014. The cubic root of 199042480 is about 583.8687858082.

The spelling of 199042480 in words is "one hundred ninety-nine million, forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 19 20 26 28 35 38 40 52 56 65 70 76 80 91 95 104 112 130 133 140 152 182 190 208 247 260 266 280 304 364 380 455 494 520 532 560 665 728 760 910 988 1040 1064 1235 1330 1439 1456 1520 1729 1820 1976 2128 2470 2660 2878 3458 3640 3952 4940 5320 5756 6916 7195 7280 8645 9880 10073 10640 11512 13832 14390 17290 18707 19760 20146 23024 27341 27664 28780 34580 37414 40292 50365 54682 57560 69160 74828 80584 93535 100730 109364 115120 130949 136705 138320 149656 161168 187070 191387 201460 218728 261898 273410 299312 355433 374140 382774 402920 437456 523796 546820 654745 710866 748280 765548 805840 956935 1047592 1093640 1309490 1421732 1496560 1531096 1777165 1913870 2095184 2187280 2488031 2618980 2843464 3062192 3554330 3827740 4976062 5237960 5686928 7108660 7655480 9952124 10475920 12440155 14217320 15310960 19904248 24880310 28434640 39808496 49760620 99521240 199042480