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189642000 = 2435331607
BaseRepresentation
bin10110100110110…
…11010100010000
3111012211210220210
423103123110100
5342022021000
630452404120
74461634062
oct1323332420
9435753823
10189642000
1198058929
1253616640
133039b802
141b287732
15119b0350
hexb4db510

189642000 has 80 divisors (see below), whose sum is σ = 611425152. Its totient is φ = 50569600.

The previous prime is 189641951. The next prime is 189642007. The reversal of 189642000 is 246981.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (189642007) 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 15 ways as a sum of consecutive naturals, for example, 9804 + ... + 21803.

Almost surely, 2189642000 is an apocalyptic number.

189642000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189642000 is an abundant number, since it is smaller than the sum of its proper divisors (421783152).

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

189642000 is a wasteful number, since it uses less digits than its factorization.

189642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31633 (or 31617 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 189642000 is about 13771.0566043423. The cubic root of 189642000 is about 574.5284097991.

Adding to 189642000 its reverse (246981), we get a palindrome (189888981).

The spelling of 189642000 in words is "one hundred eighty-nine million, six hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 31607 63214 94821 126428 158035 189642 252856 316070 379284 474105 505712 632140 758568 790175 948210 1264280 1517136 1580350 1896420 2370525 2528560 3160700 3792840 3950875 4741050 6321400 7585680 7901750 9482100 11852625 12642800 15803500 18964200 23705250 31607000 37928400 47410500 63214000 94821000 189642000