Search a number
-
+
19105216 = 261322963
BaseRepresentation
bin100100011100…
…0010111000000
31022221122102121
41020320113000
514342331331
61521254024
7321251224
oct110702700
938848377
1019105216
11a86a039
126494314
133c5c080
142774784
151a25c11
hex12385c0

19105216 has 28 divisors (see below), whose sum is σ = 40829992. Its totient is φ = 8817408.

The previous prime is 19105211. The next prime is 19105237. The reversal of 19105216 is 61250191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19105211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10650 + ... + 12313.

It is an arithmetic number, because the mean of its divisors is an integer number (1458214).

Almost surely, 219105216 is an apocalyptic number.

19105216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19105216 is an abundant number, since it is smaller than the sum of its proper divisors (21724776).

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

19105216 is a wasteful number, since it uses less digits than its factorization.

19105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22988 (or 22978 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 25.

The square root of 19105216 is about 4370.9513838523. The cubic root of 19105216 is about 267.3318173032.

It can be divided in two parts, 19105 and 216, that added together give a square (19321 = 1392).

The spelling of 19105216 in words is "nineteen million, one hundred five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 22963 45926 91852 183704 298519 367408 597038 734816 1194076 1469632 2388152 4776304 9552608 19105216