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21830976 = 2632151251
BaseRepresentation
bin101001101000…
…1110101000000
31112002010110200
41103101311000
521042042401
62055525200
7353363106
oct123216500
945063420
1021830976
1111360a32
127389800
1346a494b
142c83c76
151db3686
hex14d1d40

21830976 has 84 divisors (see below), whose sum is σ = 63239904. Its totient is φ = 7200000.

The previous prime is 21830969. The next prime is 21830987. The reversal of 21830976 is 67903812.

It is a super-2 number, since 2×218309762 = 953183026225152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21830976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86851 + ... + 87101.

It is an arithmetic number, because the mean of its divisors is an integer number (752856).

Almost surely, 221830976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21830976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31619952).

21830976 is an abundant number, since it is smaller than the sum of its proper divisors (41408928).

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

21830976 is a wasteful number, since it uses less digits than its factorization.

21830976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 21830976 is about 4672.3629995967. The cubic root of 21830976 is about 279.4844936637.

The spelling of 21830976 in words is "twenty-one million, eight hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 151 192 251 288 302 453 502 576 604 753 906 1004 1208 1359 1506 1812 2008 2259 2416 2718 3012 3624 4016 4518 4832 5436 6024 7248 8032 9036 9664 10872 12048 14496 16064 18072 21744 24096 28992 36144 37901 43488 48192 72288 75802 86976 113703 144576 151604 227406 303208 341109 454812 606416 682218 909624 1212832 1364436 1819248 2425664 2728872 3638496 5457744 7276992 10915488 21830976