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189453000 = 23353115741
BaseRepresentation
bin10110100101011…
…01001011001000
3111012111012122210
423102231023020
5341444444000
630444345120
74460216052
oct1322551310
9435435583
10189453000
1197a39930
12535451a0
1330333789
141b2388d2
1511974350
hexb4ad2c8

189453000 has 128 divisors (see below), whose sum is σ = 644941440. Its totient is φ = 45920000.

The previous prime is 189452941. The next prime is 189453013. The reversal of 189453000 is 354981.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30130 + ... + 35870.

It is an arithmetic number, because the mean of its divisors is an integer number (5038605).

Almost surely, 2189453000 is an apocalyptic number.

189453000 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 189453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322470720).

189453000 is an abundant number, since it is smaller than the sum of its proper divisors (455488440).

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

189453000 is a wasteful number, since it uses less digits than its factorization.

189453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5776 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 189453000 is about 13764.1926751989. The cubic root of 189453000 is about 574.3374852111.

It can be divided in two parts, 18945 and 3000, that added together give a triangular number (21945 = T209).

The spelling of 189453000 in words is "one hundred eighty-nine million, four hundred fifty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 5741 6600 8250 11000 11482 16500 17223 22964 28705 33000 34446 45928 57410 63151 68892 86115 114820 126302 137784 143525 172230 189453 229640 252604 287050 315755 344460 378906 430575 505208 574100 631510 688920 717625 757812 861150 947265 1148200 1263020 1435250 1515624 1578775 1722300 1894530 2152875 2526040 2870500 3157550 3444600 3789060 4305750 4736325 5741000 6315100 7578120 7893875 8611500 9472650 12630200 15787750 17223000 18945300 23681625 31575500 37890600 47363250 63151000 94726500 189453000