Search a number
-
+
19213056 = 283231269
BaseRepresentation
bin100100101001…
…0101100000000
31100011010100200
41021102230000
514404304211
61523445200
7322210512
oct111225400
940133320
1019213056
11a933065
126526800
133c99195
1427a1bb2
151a47b56
hex1252b00

19213056 has 108 divisors (see below), whose sum is σ = 57395520. Its totient is φ = 6174720.

The previous prime is 19213049. The next prime is 19213057. The reversal of 19213056 is 65031291.

It is not an unprimeable number, because it can be changed into a prime (19213057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71290 + ... + 71558.

It is an arithmetic number, because the mean of its divisors is an integer number (531440).

Almost surely, 219213056 is an apocalyptic number.

19213056 is a gapful number since it is divisible by the number (16) 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 19213056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28697760).

19213056 is an abundant number, since it is smaller than the sum of its proper divisors (38182464).

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

19213056 is a wasteful number, since it uses less digits than its factorization.

19213056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 19213056 is about 4383.2700122169. The cubic root of 19213056 is about 267.8338615346.

The spelling of 19213056 in words is "nineteen million, two hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 269 279 288 372 384 496 538 558 576 744 768 807 992 1076 1116 1152 1488 1614 1984 2152 2232 2304 2421 2976 3228 3968 4304 4464 4842 5952 6456 7936 8339 8608 8928 9684 11904 12912 16678 17216 17856 19368 23808 25017 25824 33356 34432 35712 38736 50034 51648 66712 68864 71424 75051 77472 100068 103296 133424 150102 154944 200136 206592 266848 300204 309888 400272 533696 600408 619776 800544 1067392 1200816 1601088 2134784 2401632 3202176 4803264 6404352 9606528 19213056