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21920300 = 22521983139
BaseRepresentation
bin101001110011…
…1101000101100
31112020122222222
41103213220230
521102422200
62101454512
7354214403
oct123475054
945218888
1021920300
1111412056
127411438
1347064bc
142ca863a
151dced85
hex14e7a2c

21920300 has 72 divisors (see below), whose sum is σ = 51038400. Its totient is φ = 8147520.

The previous prime is 21920299. The next prime is 21920321. The reversal of 21920300 is 302912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157631 + ... + 157769.

Almost surely, 221920300 is an apocalyptic number.

21920300 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 21920300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25519200).

21920300 is an abundant number, since it is smaller than the sum of its proper divisors (29118100).

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

21920300 is a wasteful number, since it uses less digits than its factorization.

21920300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 21920300 is about 4681.9120025904. The cubic root of 21920300 is about 279.8651561601.

The spelling of 21920300 in words is "twenty-one million, nine hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 83 95 100 139 166 190 278 332 380 415 475 556 695 830 950 1390 1577 1660 1900 2075 2641 2780 3154 3475 4150 5282 6308 6950 7885 8300 10564 11537 13205 13900 15770 23074 26410 31540 39425 46148 52820 57685 66025 78850 115370 132050 157700 219203 230740 264100 288425 438406 576850 876812 1096015 1153700 2192030 4384060 5480075 10960150 21920300