Search a number
-
+
28150668 = 22327132661
BaseRepresentation
bin110101101100…
…0101110001100
31221222012110100
41223120232030
524201310133
62443211100
7461163630
oct153305614
957865410
1028150668
1114988017
129516a90
135aa8300
143a4adc0
152710e13
hex1ad8b8c

28150668 has 108 divisors (see below), whose sum is σ = 88194288. Its totient is φ = 7413120.

The previous prime is 28150663. The next prime is 28150669. The reversal of 28150668 is 86605182.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28150663) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 42258 + ... + 42918.

Almost surely, 228150668 is an apocalyptic number.

28150668 is a gapful number since it is divisible by the number (28) 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 28150668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44097144).

28150668 is an abundant number, since it is smaller than the sum of its proper divisors (60043620).

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

28150668 is a wasteful number, since it uses less digits than its factorization.

28150668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 28150668 is about 5305.7203092511. The cubic root of 28150668 is about 304.2025859960.

The spelling of 28150668 in words is "twenty-eight million, one hundred fifty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 338 364 468 507 546 661 676 819 1014 1092 1183 1322 1521 1638 1983 2028 2366 2644 3042 3276 3549 3966 4627 4732 5949 6084 7098 7932 8593 9254 10647 11898 13881 14196 17186 18508 21294 23796 25779 27762 34372 41643 42588 51558 55524 60151 77337 83286 103116 111709 120302 154674 166572 180453 223418 240604 309348 335127 360906 446836 541359 670254 721812 781963 1005381 1082718 1340508 1563926 2010762 2165436 2345889 3127852 4021524 4691778 7037667 9383556 14075334 28150668