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21074100 = 22352199353
BaseRepresentation
bin101000001100…
…1000010110100
31110122200020020
41100121002310
520343332400
62031405140
7344061345
oct120310264
943580206
1021074100
1110994313
1270837b0
13449b2a8
142b280cc
151cb42a0
hex14190b4

21074100 has 72 divisors (see below), whose sum is σ = 61454400. Its totient is φ = 5575680.

The previous prime is 21074099. The next prime is 21074111. The reversal of 21074100 is 147012.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21074100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59524 + ... + 59876.

Almost surely, 221074100 is an apocalyptic number.

21074100 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 21074100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30727200).

21074100 is an abundant number, since it is smaller than the sum of its proper divisors (40380300).

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

21074100 is a wasteful number, since it uses less digits than its factorization.

21074100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 21074100 is about 4590.6535482434. The cubic root of 21074100 is about 276.2165387424.

The spelling of 21074100 in words is "twenty-one million, seventy-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 199 300 353 398 597 706 796 995 1059 1194 1412 1765 1990 2118 2388 2985 3530 3980 4236 4975 5295 5970 7060 8825 9950 10590 11940 14925 17650 19900 21180 26475 29850 35300 52950 59700 70247 105900 140494 210741 280988 351235 421482 702470 842964 1053705 1404940 1756175 2107410 3512350 4214820 5268525 7024700 10537050 21074100