Search a number
-
+
28297340100 = 22325288735447
BaseRepresentation
bin11010010110101001…
…110010010011000100
32201001002102211002100
4122112221302103010
5430423104340400
620555530112100
72021143264551
oct322651622304
981032384070
1028297340100
1111001124497
12559887b630
13288c6c6c33
14152626da28
15b093ec100
hex696a724c4

28297340100 has 108 divisors (see below), whose sum is σ = 88798941504. Its totient is φ = 7537237440.

The previous prime is 28297340011. The next prime is 28297340117. The reversal of 28297340100 is 104379282.

28297340100 is a `hidden beast` number, since 28 + 297 + 340 + 1 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 780577 + ... + 816023.

Almost surely, 228297340100 is an apocalyptic number.

28297340100 is a gapful number since it is divisible by the number (20) 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 28297340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44399470752).

28297340100 is an abundant number, since it is smaller than the sum of its proper divisors (60501601404).

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

28297340100 is a wasteful number, since it uses less digits than its factorization.

28297340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36354 (or 36344 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 28297340100 in words is "twenty-eight billion, two hundred ninety-seven million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 887 900 1774 2661 3548 4435 5322 7983 8870 10644 13305 15966 17740 22175 26610 31932 35447 39915 44350 53220 66525 70894 79830 88700 106341 133050 141788 159660 177235 199575 212682 266100 319023 354470 399150 425364 531705 638046 708940 798300 886175 1063410 1276092 1595115 1772350 2126820 2658525 3190230 3544700 5317050 6380460 7975575 10634100 15951150 31441489 31902300 62882978 94324467 125765956 157207445 188648934 282973401 314414890 377297868 471622335 565946802 628829780 786037225 943244670 1131893604 1414867005 1572074450 1886489340 2358111675 2829734010 3144148900 4716223350 5659468020 7074335025 9432446700 14148670050 28297340100