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199439520 = 2535759357
BaseRepresentation
bin10111110001100…
…11010010100000
3111220021120120220
423320303102200
5402024031040
631442403040
74641131220
oct1370632240
9456246526
10199439520
11a263a955
1256960480
133241c167
141c6b8080
15127982d0
hexbe334a0

199439520 has 96 divisors (see below), whose sum is σ = 717994368. Its totient is φ = 45585408.

The previous prime is 199439507. The next prime is 199439543. The reversal of 199439520 is 25934991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1994395202 = 79552244275660800, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 26319 + ... + 33038.

It is an arithmetic number, because the mean of its divisors is an integer number (7479108).

Almost surely, 2199439520 is an apocalyptic number.

199439520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199439520 is an abundant number, since it is smaller than the sum of its proper divisors (518554848).

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

199439520 is a wasteful number, since it uses less digits than its factorization.

199439520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59382 (or 59374 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 199439520 is about 14122.3057607460. The cubic root of 199439520 is about 584.2567520567.

It can be divided in two parts, 1994 and 39520, that added together give a palindrome (41514).

The spelling of 199439520 in words is "one hundred ninety-nine million, four hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 59357 118714 178071 237428 296785 356142 415499 474856 593570 712284 830998 890355 949712 1187140 1246497 1424568 1661996 1780710 1899424 2077495 2374280 2492994 2849136 3323992 3561420 4154990 4748560 4985988 5698272 6232485 6647984 7122840 8309980 9497120 9971976 12464970 13295968 14245680 16619960 19943952 24929940 28491360 33239920 39887904 49859880 66479840 99719760 199439520