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19921700 = 2252732729
BaseRepresentation
bin100101111111…
…1101100100100
31101111010102202
41023333230210
520044443300
61550554032
7331221521
oct113775444
941433382
1019921700
1110277517
126808918
1341868b6
142908148
151b37ad5
hex12ffb24

19921700 has 36 divisors (see below), whose sum is σ = 43838340. Its totient is φ = 7856640.

The previous prime is 19921687. The next prime is 19921711. The reversal of 19921700 is 712991.

It can be written as a sum of positive squares in 6 ways, for example, as 702244 + 19219456 = 838^2 + 4384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5936 + ... + 8664.

Almost surely, 219921700 is an apocalyptic number.

19921700 is a gapful number since it is divisible by the number (10) 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 19921700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21919170).

19921700 is an abundant number, since it is smaller than the sum of its proper divisors (23916640).

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

19921700 is a wasteful number, since it uses less digits than its factorization.

19921700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 29.

The square root of 19921700 is about 4463.3731638751. The cubic root of 19921700 is about 271.0870668803.

The spelling of 19921700 in words is "nineteen million, nine hundred twenty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 2729 3650 5458 7300 10916 13645 27290 54580 68225 136450 199217 272900 398434 796868 996085 1992170 3984340 4980425 9960850 19921700