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199982520 = 2334561723
BaseRepresentation
bin10111110101101…
…11110110111000
3111221022011110000
423322313312320
5402143420040
631502153000
74645552263
oct1372676670
9457264400
10199982520
11a2980911
1256b82760
133257c36a
141c7b9cda
1512854130
hexbeb7db8

199982520 has 80 divisors (see below), whose sum is σ = 672174360. Its totient is φ = 53327808.

The previous prime is 199982513. The next prime is 199982557. The reversal of 199982520 is 25289991.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27622 + ... + 34101.

Almost surely, 2199982520 is an apocalyptic number.

199982520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199982520 is an abundant number, since it is smaller than the sum of its proper divisors (472191840).

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

199982520 is a wasteful number, since it uses less digits than its factorization.

199982520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61746 (or 61733 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 199982520 is about 14141.5175989001. The cubic root of 199982520 is about 584.7865098695.

The spelling of 199982520 in words is "one hundred ninety-nine million, nine hundred eighty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 61723 123446 185169 246892 308615 370338 493784 555507 617230 740676 925845 1111014 1234460 1481352 1666521 1851690 2222028 2468920 2777535 3333042 3703380 4444056 4999563 5555070 6666084 7406760 8332605 9999126 11110140 13332168 16665210 19998252 22220280 24997815 33330420 39996504 49995630 66660840 99991260 199982520