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16821920 = 255105137
BaseRepresentation
bin100000000101…
…0111010100000
31011122122100002
41000022322200
513301300140
61400315132
7262661333
oct100127240
934578302
1016821920
11954a615
125772aa8
13363c9cb
14233c61a
151724415
hex100aea0

16821920 has 24 divisors (see below), whose sum is σ = 39742164. Its totient is φ = 6728704.

The previous prime is 16821913. The next prime is 16821923. The reversal of 16821920 is 2912861.

It can be written as a sum of positive squares in 2 ways, for example, as 14961424 + 1860496 = 3868^2 + 1364^2 .

It is not an unprimeable number, because it can be changed into a prime (16821923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52409 + ... + 52728.

Almost surely, 216821920 is an apocalyptic number.

16821920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16821920 is an abundant number, since it is smaller than the sum of its proper divisors (22920244).

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

16821920 is a wasteful number, since it uses less digits than its factorization.

16821920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105152 (or 105144 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 16821920 is about 4101.4534009300. The cubic root of 16821920 is about 256.2271746474.

The spelling of 16821920 in words is "sixteen million, eight hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 105137 210274 420548 525685 841096 1051370 1682192 2102740 3364384 4205480 8410960 16821920