Search a number
-
+
19200080 = 2451072243
BaseRepresentation
bin100100100111…
…1100001010000
31100010110120002
41021033201100
514403400310
61523305132
7322124624
oct111174120
940113502
1019200080
11a924339
12651b1a8
133c932c3
14279b184
151a43da5
hex124f850

19200080 has 40 divisors (see below), whose sum is σ = 45077472. Its totient is φ = 7604864.

The previous prime is 19200073. The next prime is 19200107. The reversal of 19200080 is 8000291.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7439 + ... + 9681.

Almost surely, 219200080 is an apocalyptic number.

19200080 is a gapful number since it is divisible by the number (10) 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 19200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22538736).

19200080 is an abundant number, since it is smaller than the sum of its proper divisors (25877392).

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

19200080 is a wasteful number, since it uses less digits than its factorization.

19200080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 19200080 is about 4381.7895887411. The cubic root of 19200080 is about 267.7735519395.

The spelling of 19200080 in words is "nineteen million, two hundred thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1712 2140 2243 4280 4486 8560 8972 11215 17944 22430 35888 44860 89720 179440 240001 480002 960004 1200005 1920008 2400010 3840016 4800020 9600040 19200080