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19825340 = 2253773367
BaseRepresentation
bin100101110100…
…0001010111100
31101022020020212
41023220022330
520033402330
61544531552
7330340553
oct113501274
941266225
1019825340
1110211087
126780bb8
134151a92
1428c0d9a
151b19295
hex12e82bc

19825340 has 48 divisors (see below), whose sum is σ = 43462272. Its totient is φ = 7589376.

The previous prime is 19825327. The next prime is 19825343. The reversal of 19825340 is 4352891.

It is a super-2 number, since 2×198253402 = 786088212231200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19825297 and 19825306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19825343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53837 + ... + 54203.

It is an arithmetic number, because the mean of its divisors is an integer number (905464).

Almost surely, 219825340 is an apocalyptic number.

19825340 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 19825340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21731136).

19825340 is an abundant number, since it is smaller than the sum of its proper divisors (23636932).

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

19825340 is a wasteful number, since it uses less digits than its factorization.

19825340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 19825340 is about 4452.5655525775. The cubic root of 19825340 is about 270.6492832902.

The spelling of 19825340 in words is "nineteen million, eight hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 73 74 146 148 185 292 365 367 370 730 734 740 1460 1468 1835 2701 3670 5402 7340 10804 13505 13579 26791 27010 27158 53582 54020 54316 67895 107164 133955 135790 267910 271580 535820 991267 1982534 3965068 4956335 9912670 19825340