Search a number
-
+
192000120 = 233513123077
BaseRepresentation
bin10110111000110…
…11000001111000
3111101021121122120
423130123001320
5343123000440
631015121240
74520655054
oct1334330170
9441247576
10192000120
1199419594
1254373220
1330a15c50
141b6dcc64
1511cc8dd0
hexb71b078

192000120 has 64 divisors (see below), whose sum is σ = 620313120. Its totient is φ = 47261184.

The previous prime is 192000103. The next prime is 192000161. The reversal of 192000120 is 21000291.

It is a happy number.

192000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 192000120.

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, 59979 + ... + 63098.

Almost surely, 2192000120 is an apocalyptic number.

192000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

192000120 is an abundant number, since it is smaller than the sum of its proper divisors (428313000).

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

192000120 is a wasteful number, since it uses less digits than its factorization.

192000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123104 (or 123100 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 192000120 is about 13856.4107906774. The cubic root of 192000120 is about 576.8999483104.

It can be divided in two parts, 192000 and 120, that multiplied together give a square (23040000 = 48002).

The spelling of 192000120 in words is "one hundred ninety-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 123077 246154 369231 492308 615385 738462 984616 1230770 1476924 1600001 1846155 2461540 2953848 3200002 3692310 4800003 4923080 6400004 7384620 8000005 9600006 12800008 14769240 16000010 19200012 24000015 32000020 38400024 48000030 64000040 96000060 192000120