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21830680 = 2352361389
BaseRepresentation
bin101001101000…
…1110000011000
31112002010001201
41103101300120
521042040210
62055523544
7353362204
oct123216030
945063051
1021830680
1111360793
1273895b4
1346a4781
142c83b04
151db353a
hex14d1c18

21830680 has 64 divisors (see below), whose sum is σ = 52228800. Its totient is φ = 8194560.

The previous prime is 21830671. The next prime is 21830681. The reversal of 21830680 is 8603812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21830681) 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, 55926 + ... + 56314.

It is an arithmetic number, because the mean of its divisors is an integer number (816075).

Almost surely, 221830680 is an apocalyptic number.

21830680 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 21830680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26114400).

21830680 is an abundant number, since it is smaller than the sum of its proper divisors (30398120).

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

21830680 is a wasteful number, since it uses less digits than its factorization.

21830680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 21830680 is about 4672.3313238682. The cubic root of 21830680 is about 279.4832305077.

The spelling of 21830680 in words is "twenty-one million, eight hundred thirty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 61 92 115 122 184 230 244 305 389 460 488 610 778 920 1220 1403 1556 1945 2440 2806 3112 3890 5612 7015 7780 8947 11224 14030 15560 17894 23729 28060 35788 44735 47458 56120 71576 89470 94916 118645 178940 189832 237290 357880 474580 545767 949160 1091534 2183068 2728835 4366136 5457670 10915340 21830680