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189114000 = 2435343733
BaseRepresentation
bin10110100010110…
…10011010010000
3111011211222122020
423101122122100
5341403122000
630433211440
74454304525
oct1321323220
9434758566
10189114000
1197828169
1253400b80
133024539a
141b18b14c
1511908ba0
hexb45a690

189114000 has 160 divisors (see below), whose sum is σ = 624733824. Its totient is φ = 49190400.

The previous prime is 189113989. The next prime is 189114007. The reversal of 189114000 is 411981.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (189114007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257634 + ... + 258366.

Almost surely, 2189114000 is an apocalyptic number.

189114000 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 189114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312366912).

189114000 is an abundant number, since it is smaller than the sum of its proper divisors (435619824).

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

189114000 is a wasteful number, since it uses less digits than its factorization.

189114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 189114000 is about 13751.8725997589. The cubic root of 189114000 is about 573.9947147915.

Adding to 189114000 its reverse (411981), we get a palindrome (189525981).

The spelling of 189114000 in words is "one hundred eighty-nine million, one hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 125 129 150 172 200 215 240 250 258 300 344 375 400 430 500 516 600 645 688 733 750 860 1000 1032 1075 1200 1290 1466 1500 1720 2000 2064 2150 2199 2580 2932 3000 3225 3440 3665 4300 4398 5160 5375 5864 6000 6450 7330 8600 8796 10320 10750 10995 11728 12900 14660 16125 17200 17592 18325 21500 21990 25800 29320 31519 32250 35184 36650 43000 43980 51600 54975 58640 63038 64500 73300 86000 87960 91625 94557 109950 126076 129000 146600 157595 175920 183250 189114 219900 252152 258000 274875 293200 315190 366500 378228 439800 472785 504304 549750 630380 733000 756456 787975 879600 945570 1099500 1260760 1466000 1512912 1575950 1891140 2199000 2363925 2521520 3151900 3782280 3939875 4398000 4727850 6303800 7564560 7879750 9455700 11819625 12607600 15759500 18911400 23639250 31519000 37822800 47278500 63038000 94557000 189114000