Search a number
-
+
21092100 = 22352167421
BaseRepresentation
bin101000001110…
…1011100000100
31110200120220220
41100131130010
520344421400
62032024340
7344165001
oct120353404
943616826
1021092100
11109a6897
1270920b0
1344a6543
142b308a8
151cb97a0
hex141d704

21092100 has 72 divisors (see below), whose sum is σ = 61537728. Its totient is φ = 5577600.

The previous prime is 21092089. The next prime is 21092101. The reversal of 21092100 is 129012.

It is a happy number.

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 21092100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21092101) 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, 49890 + ... + 50310.

Almost surely, 221092100 is an apocalyptic number.

21092100 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 21092100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30768864).

21092100 is an abundant number, since it is smaller than the sum of its proper divisors (40445628).

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

21092100 is a wasteful number, since it uses less digits than its factorization.

21092100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 21092100 is about 4592.6136349578. The cubic root of 21092100 is about 276.2951578819.

The spelling of 21092100 in words is "twenty-one million, ninety-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 167 300 334 421 501 668 835 842 1002 1263 1670 1684 2004 2105 2505 2526 3340 4175 4210 5010 5052 6315 8350 8420 10020 10525 12525 12630 16700 21050 25050 25260 31575 42100 50100 63150 70307 126300 140614 210921 281228 351535 421842 703070 843684 1054605 1406140 1757675 2109210 3515350 4218420 5273025 7030700 10546050 21092100