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20199456 = 25347793
BaseRepresentation
bin100110100001…
…1100000100000
31102000020110000
41031003200200
520132340311
62000540000
7333456354
oct115034040
942006400
1020199456
1110447172
126921600
134253154
14297b464
151b90056
hex1343820

20199456 has 60 divisors (see below), whose sum is σ = 59413662. Its totient is φ = 6732288.

The previous prime is 20199437. The next prime is 20199481. The reversal of 20199456 is 65499102.

It can be written as a sum of positive squares in only one way, i.e., 11696400 + 8503056 = 3420^2 + 2916^2 .

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 20199456.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1305 + ... + 6488.

Almost surely, 220199456 is an apocalyptic number.

It is an amenable number.

20199456 is an abundant number, since it is smaller than the sum of its proper divisors (39214206).

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

20199456 is an equidigital number, since it uses as much as digits as its factorization.

20199456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7815 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 20199456 is about 4494.3804912357. The cubic root of 20199456 is about 272.3411233346.

The spelling of 20199456 in words is "twenty million, one hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 7793 15586 23379 31172 46758 62344 70137 93516 124688 140274 187032 210411 249376 280548 374064 420822 561096 631233 748128 841644 1122192 1262466 1683288 2244384 2524932 3366576 5049864 6733152 10099728 20199456