Search a number
-
+
189978000 = 2435331663
BaseRepresentation
bin10110101001011…
…01010110010000
3111020110212211020
423110231112100
5342113244000
630503515440
74464533502
oct1324552620
9436425736
10189978000
1198268313
1253758b80
1330488724
141b333d72
1511a29ba0
hexb52d590

189978000 has 80 divisors (see below), whose sum is σ = 612508416. Its totient is φ = 50659200.

The previous prime is 189977971. The next prime is 189978001. The reversal of 189978000 is 879981.

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

It is not an unprimeable number, because it can be changed into a prime (189978001) 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, 9832 + ... + 21831.

Almost surely, 2189978000 is an apocalyptic number.

189978000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189978000 is an abundant number, since it is smaller than the sum of its proper divisors (422530416).

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

189978000 is a wasteful number, since it uses less digits than its factorization.

189978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31689 (or 31673 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 189978000 is about 13783.2507051131. The cubic root of 189978000 is about 574.8675183125.

The spelling of 189978000 in words is "one hundred eighty-nine million, nine hundred seventy-eight 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 31663 63326 94989 126652 158315 189978 253304 316630 379956 474945 506608 633260 759912 791575 949890 1266520 1519824 1583150 1899780 2374725 2533040 3166300 3799560 3957875 4749450 6332600 7599120 7915750 9498900 11873625 12665200 15831500 18997800 23747250 31663000 37995600 47494500 63326000 94989000 189978000