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19921120 = 255196553
BaseRepresentation
bin100101111111…
…1100011100000
31101111002122021
41023333203200
520044433440
61550551224
7331220032
oct113774340
941432567
1019921120
111027703a
126808514
13418655b
142907c52
151b3784a
hex12ff8e0

19921120 has 48 divisors (see below), whose sum is σ = 49548240. Its totient is φ = 7547904.

The previous prime is 19921067. The next prime is 19921129. The reversal of 19921120 is 2112991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19921129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237 + ... + 6316.

It is an arithmetic number, because the mean of its divisors is an integer number (1032255).

Almost surely, 219921120 is an apocalyptic number.

19921120 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 19921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24774120).

19921120 is an abundant number, since it is smaller than the sum of its proper divisors (29627120).

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

19921120 is a wasteful number, since it uses less digits than its factorization.

19921120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6587 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The square root of 19921120 is about 4463.3081901209. The cubic root of 19921120 is about 271.0844360469.

The spelling of 19921120 in words is "nineteen million, nine hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 6553 13106 26212 32765 52424 65530 104848 124507 131060 209696 249014 262120 498028 524240 622535 996056 1048480 1245070 1992112 2490140 3984224 4980280 9960560 19921120