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199960728 = 233112371861
BaseRepresentation
bin10111110101100…
…10100010011000
3111221021001112220
423322302202120
5402142220403
631501504040
74645431612
oct1372624230
9457231486
10199960728
11a2966500
1256b72020
1332572476
141c7b1db2
151284c953
hexbeb2898

199960728 has 96 divisors (see below), whose sum is σ = 564632880. Its totient is φ = 58924800.

The previous prime is 199960727. The next prime is 199960729. The reversal of 199960728 is 827069991.

It is a happy number.

199960728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199960727) and next prime (199960729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199960723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106518 + ... + 108378.

Almost surely, 2199960728 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 199960728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282316440).

199960728 is an abundant number, since it is smaller than the sum of its proper divisors (364672152).

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

199960728 is a wasteful number, since it uses less digits than its factorization.

199960728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 199960728 is about 14140.7470806885. The cubic root of 199960728 is about 584.7652677954.

The spelling of 199960728 in words is "one hundred ninety-nine million, nine hundred sixty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 121 132 148 222 242 264 296 363 407 444 484 726 814 888 968 1221 1452 1628 1861 2442 2904 3256 3722 4477 4884 5583 7444 8954 9768 11166 13431 14888 17908 20471 22332 26862 35816 40942 44664 53724 61413 68857 81884 107448 122826 137714 163768 206571 225181 245652 275428 413142 450362 491304 550856 675543 757427 826284 900724 1351086 1514854 1652568 1801448 2272281 2702172 3029708 4544562 5404344 6059416 8331697 9089124 16663394 18178248 24995091 33326788 49990182 66653576 99980364 199960728