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189110160 = 24335293019
BaseRepresentation
bin10110100010110…
…01011110010000
3111011211210101000
423101121132100
5341403011120
630433142000
74454260401
oct1321313620
9434753330
10189110160
1197825298
12533ba900
1330243705
141b1899a8
1511907990
hexb459790

189110160 has 160 divisors (see below), whose sum is σ = 674064000. Its totient is φ = 48674304.

The previous prime is 189110149. The next prime is 189110179. The reversal of 189110160 is 61011981.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 61131 + ... + 64149.

It is an arithmetic number, because the mean of its divisors is an integer number (4212900).

Almost surely, 2189110160 is an apocalyptic number.

189110160 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 189110160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337032000).

189110160 is an abundant number, since it is smaller than the sum of its proper divisors (484953840).

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

189110160 is a wasteful number, since it uses less digits than its factorization.

189110160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 189110160 is about 13751.7329817009. The cubic root of 189110160 is about 573.9908297369.

The spelling of 189110160 in words is "one hundred eighty-nine million, one hundred ten thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 870 1044 1080 1160 1305 1392 1566 1740 2088 2160 2320 2610 3019 3132 3480 3915 4176 5220 6038 6264 6960 7830 9057 10440 12076 12528 15095 15660 18114 20880 24152 27171 30190 31320 36228 45285 48304 54342 60380 62640 72456 81513 87551 90570 108684 120760 135855 144912 163026 175102 181140 217368 241520 262653 271710 326052 350204 362280 407565 434736 437755 525306 543420 652104 700408 724560 787959 815130 875510 1050612 1086840 1304208 1313265 1400816 1575918 1630260 1751020 2101224 2173680 2363877 2626530 3151836 3260520 3502040 3939795 4202448 4727754 5253060 6303672 6521040 7004080 7879590 9455508 10506120 11819385 12607344 15759180 18911016 21012240 23638770 31518360 37822032 47277540 63036720 94555080 189110160