Search a number
-
+
1894188420 = 2232543923971
BaseRepresentation
bin111000011100111…
…0000010110000100
311220000020202000200
41300321300112010
512334403012140
6511543010500
764640223135
oct16071602604
94800222020
101894188420
11892246883
1244a439a30
1324257a567
1413d7d3c8c
15b1461030
hex70e70584

1894188420 has 72 divisors (see below), whose sum is σ = 5759033280. Its totient is φ = 503945280.

The previous prime is 1894188383. The next prime is 1894188421. The reversal of 1894188420 is 248814981.

1894188420 is a `hidden beast` number, since 189 + 41 + 8 + 8 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1894188421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67035 + ... + 91005.

Almost surely, 21894188420 is an apocalyptic number.

1894188420 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 1894188420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879516640).

1894188420 is an abundant number, since it is smaller than the sum of its proper divisors (3864844860).

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

1894188420 is a wasteful number, since it uses less digits than its factorization.

1894188420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24425 (or 24420 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 1894188420 is about 43522.2749864940. The cubic root of 1894188420 is about 1237.2982321796.

The spelling of 1894188420 in words is "one billion, eight hundred ninety-four million, one hundred eighty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 439 878 1317 1756 2195 2634 3951 4390 5268 6585 7902 8780 13170 15804 19755 23971 26340 39510 47942 71913 79020 95884 119855 143826 215739 239710 287652 359565 431478 479420 719130 862956 1078695 1438260 2157390 4314780 10523269 21046538 31569807 42093076 52616345 63139614 94709421 105232690 126279228 157849035 189418842 210465380 315698070 378837684 473547105 631396140 947094210 1894188420