Search a number
-
+
28300020 = 22357431567
BaseRepresentation
bin110101111110…
…1001011110100
31222020210022220
41223331023310
524221100040
62450322340
7462355230
oct153751364
958223286
1028300020
1114a7a251
1295893b0
135b2b298
143a895c0
1527402d0
hex1afd2f4

28300020 has 96 divisors (see below), whose sum is σ = 92725248. Its totient is φ = 6314112.

The previous prime is 28300009. The next prime is 28300031. The reversal of 28300020 is 2000382.

It is an interprime number because it is at equal distance from previous prime (28300009) and next prime (28300031).

It is a super-2 number, since 2×283000202 = 1601782264000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17277 + ... + 18843.

It is an arithmetic number, because the mean of its divisors is an integer number (965888).

Almost surely, 228300020 is an apocalyptic number.

28300020 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 28300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46362624).

28300020 is an abundant number, since it is smaller than the sum of its proper divisors (64425228).

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

28300020 is a wasteful number, since it uses less digits than its factorization.

28300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 28300020 is about 5319.7763110868. The cubic root of 28300020 is about 304.7396147280.

The spelling of 28300020 in words is "twenty-eight million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1567 1806 2580 3010 3134 3612 4515 4701 6020 6268 7835 9030 9402 10969 15670 18060 18804 21938 23505 31340 32907 43876 47010 54845 65814 67381 94020 109690 131628 134762 164535 202143 219380 269524 329070 336905 404286 471667 658140 673810 808572 943334 1010715 1347620 1415001 1886668 2021430 2358335 2830002 4042860 4716670 5660004 7075005 9433340 14150010 28300020