[go: up one dir, main page]

Search a number
-
+
19016964 = 2233374759
BaseRepresentation
bin100100010001…
…0110100000100
31022210011101000
41020202310010
514332020324
61515333300
7320433021
oct110426404
938704330
1019016964
11a8097aa
126451230
133c2ab55
142750548
151a099c9
hex1222d04

19016964 has 48 divisors (see below), whose sum is σ = 50646400. Its totient is φ = 6166368.

The previous prime is 19016951. The next prime is 19016969. The reversal of 19016964 is 46961091.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19016969) 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, 1617 + ... + 6375.

Almost surely, 219016964 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 19016964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25323200).

19016964 is an abundant number, since it is smaller than the sum of its proper divisors (31629436).

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

19016964 is a wasteful number, since it uses less digits than its factorization.

19016964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4809 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 19016964 is about 4360.8444136428. The cubic root of 19016964 is about 266.9195566270.

The spelling of 19016964 in words is "nineteen million, sixteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 4759 9518 14277 19036 28554 42831 57108 85662 128493 171324 176083 256986 352166 513972 528249 704332 1056498 1584747 2112996 3169494 4754241 6338988 9508482 19016964