Search a number
-
+
19080144 = 2433291523
BaseRepresentation
bin100100011001…
…0001111010000
31022220101001000
41020302033100
514341031034
61520542000
7321115146
oct110621720
938811030
1019080144
11a852216
126481900
133c50835
142769596
151a1d599
hex12323d0

19080144 has 80 divisors (see below), whose sum is σ = 56692800. Its totient is φ = 6136704.

The previous prime is 19080107. The next prime is 19080157. The reversal of 19080144 is 44108091.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11767 + ... + 13289.

It is an arithmetic number, because the mean of its divisors is an integer number (708660).

Almost surely, 219080144 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 19080144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28346400).

19080144 is an abundant number, since it is smaller than the sum of its proper divisors (37612656).

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

19080144 is a wasteful number, since it uses less digits than its factorization.

19080144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 19080144 is about 4368.0824168049. The cubic root of 19080144 is about 267.2148252140.

The spelling of 19080144 in words is "nineteen million, eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1523 1566 2088 3046 3132 4176 4569 6092 6264 9138 12184 12528 13707 18276 24368 27414 36552 41121 44167 54828 73104 82242 88334 109656 132501 164484 176668 219312 265002 328968 353336 397503 530004 657936 706672 795006 1060008 1192509 1590012 2120016 2385018 3180024 4770036 6360048 9540072 19080144