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19814028 = 22313157809
BaseRepresentation
bin100101110010…
…1011010001100
31101021122201220
41023211122030
520033022103
61544403340
7330262563
oct113453214
941248656
1019814028
1110203633
126776550
1341498a0
1428babda
151b15c53
hex12e568c

19814028 has 48 divisors (see below), whose sum is σ = 50168160. Its totient is φ = 6050304.

The previous prime is 19814021. The next prime is 19814051. The reversal of 19814028 is 82041891.

It is a super-3 number, since 3×198140283 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19814028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19814021) 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, 24088 + ... + 24896.

It is an arithmetic number, because the mean of its divisors is an integer number (1045170).

Almost surely, 219814028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19814028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25084080).

19814028 is an abundant number, since it is smaller than the sum of its proper divisors (30354132).

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

19814028 is a wasteful number, since it uses less digits than its factorization.

19814028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 19814028 is about 4451.2950924422. The cubic root of 19814028 is about 270.5977975456.

The spelling of 19814028 in words is "nineteen million, eight hundred fourteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 314 471 628 809 942 1618 1884 2041 2427 3236 4082 4854 6123 8164 9708 10517 12246 21034 24492 31551 42068 63102 126204 127013 254026 381039 508052 762078 1524156 1651169 3302338 4953507 6604676 9907014 19814028