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199980528 = 24311675653
BaseRepresentation
bin10111110101101…
…11010111110000
3111221022001201020
423322313113300
5402143334103
631502135440
74645543416
oct1372672760
9457261636
10199980528
11a297a370
1256b81580
133257b497
141c7b92b6
1512853753
hexbeb75f0

199980528 has 80 divisors (see below), whose sum is σ = 572094336. Its totient is φ = 59685120.

The previous prime is 199980527. The next prime is 199980533. The reversal of 199980528 is 825089991.

199980528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199980527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32550 + ... + 38202.

Almost surely, 2199980528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199980528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286047168).

199980528 is an abundant number, since it is smaller than the sum of its proper divisors (372113808).

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

199980528 is a wasteful number, since it uses less digits than its factorization.

199980528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The square root of 199980528 is about 14141.4471678114. The cubic root of 199980528 is about 584.7845682021.

The spelling of 199980528 in words is "one hundred ninety-nine million, nine hundred eighty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 132 134 176 201 264 268 402 528 536 737 804 1072 1474 1608 2211 2948 3216 4422 5653 5896 8844 11306 11792 16959 17688 22612 33918 35376 45224 62183 67836 90448 124366 135672 186549 248732 271344 373098 378751 497464 746196 757502 994928 1136253 1492392 1515004 2272506 2984784 3030008 4166261 4545012 6060016 8332522 9090024 12498783 16665044 18180048 24997566 33330088 49995132 66660176 99990264 199980528