Search a number
-
+
21867020 = 2257236791
BaseRepresentation
bin101001101101…
…0101000001100
31112010221220122
41103122220030
521044221040
62100404112
7353603150
oct123325014
945127818
1021867020
111138601a
1273a6638
1346b8186
142c93060
151dbe1b5
hex14daa0c

21867020 has 48 divisors (see below), whose sum is σ = 54770688. Its totient is φ = 7170240.

The previous prime is 21867019. The next prime is 21867023. The reversal of 21867020 is 2076812.

21867020 = T2955 + T2956 + ... + T2959.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21867023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176 + ... + 6615.

It is an arithmetic number, because the mean of its divisors is an integer number (1141056).

Almost surely, 221867020 is an apocalyptic number.

21867020 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 21867020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27385344).

21867020 is an abundant number, since it is smaller than the sum of its proper divisors (32903668).

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

21867020 is a wasteful number, since it uses less digits than its factorization.

21867020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 21867020 is about 4676.2185577665. The cubic root of 21867020 is about 279.6382232403.

The spelling of 21867020 in words is "twenty-one million, eight hundred sixty-seven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 6791 13582 27164 33955 47537 67910 95074 135820 156193 190148 237685 312386 475370 624772 780965 950740 1093351 1561930 2186702 3123860 4373404 5466755 10933510 21867020