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21930240 = 28355711
BaseRepresentation
bin101001110101…
…0000100000000
31112021011122010
41103222010000
521103231430
62102012520
7354255363
oct123520400
945234563
1021930240
1111419572
127417140
13470ab97
142cac0da
151dd2cb0
hex14ea100

21930240 has 72 divisors (see below), whose sum is σ = 70051968. Its totient is φ = 5847040.

The previous prime is 21930157. The next prime is 21930269. The reversal of 21930240 is 4203912.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 985 + ... + 6695.

It is an arithmetic number, because the mean of its divisors is an integer number (972944).

Almost surely, 221930240 is an apocalyptic number.

21930240 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 21930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35025984).

21930240 is an abundant number, since it is smaller than the sum of its proper divisors (48121728).

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

21930240 is an equidigital number, since it uses as much as digits as its factorization.

21930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5735 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 21930240 is about 4682.9734144024. The cubic root of 21930240 is about 279.9074524071.

The spelling of 21930240 in words is "twenty-one million, nine hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 5711 11422 17133 22844 28555 34266 45688 57110 68532 85665 91376 114220 137064 171330 182752 228440 274128 342660 365504 456880 548256 685320 731008 913760 1096512 1370640 1462016 1827520 2193024 2741280 3655040 4386048 5482560 7310080 10965120 21930240