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21696820 = 22523101467
BaseRepresentation
bin101001011000…
…1000100110100
31111211022102221
41102301010310
521023244240
62053012124
7352264015
oct122610464
944738387
1021696820
111127a162
127324044
134658872
142c4b00c
151d88a4a
hex14b1134

21696820 has 48 divisors (see below), whose sum is σ = 48117888. Its totient is φ = 8201600.

The previous prime is 21696809. The next prime is 21696823. The reversal of 21696820 is 2869612.

It is a happy number.

It is a super-2 number, since 2×216968202 = 941503996224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21696823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46227 + ... + 46693.

It is an arithmetic number, because the mean of its divisors is an integer number (1002456).

Almost surely, 221696820 is an apocalyptic number.

21696820 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 21696820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058944).

21696820 is an abundant number, since it is smaller than the sum of its proper divisors (26421068).

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

21696820 is a wasteful number, since it uses less digits than its factorization.

21696820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 21696820 is about 4657.9845426966. The cubic root of 21696820 is about 278.9108196792.

The spelling of 21696820 in words is "twenty-one million, six hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 101 115 202 230 404 460 467 505 934 1010 1868 2020 2323 2335 4646 4670 9292 9340 10741 11615 21482 23230 42964 46460 47167 53705 94334 107410 188668 214820 235835 471670 943340 1084841 2169682 4339364 5424205 10848410 21696820