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189506160 = 24325436121
BaseRepresentation
bin10110100101110…
…10001001110000
3111012120220120200
423102322021300
5342003144120
630445435200
74460530044
oct1322721160
9435526520
10189506160
1197a75868
125356bb00
1330351a2c
141b250024
1511984e90
hexb4ba270

189506160 has 120 divisors (see below), whose sum is σ = 651331824. Its totient is φ = 49351680.

The previous prime is 189506153. The next prime is 189506167. The reversal of 189506160 is 61605981.

189506160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189506153) and next prime (189506167).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189506167) 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 23 ways as a sum of consecutive naturals, for example, 27900 + ... + 34020.

Almost surely, 2189506160 is an apocalyptic number.

189506160 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 189506160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325665912).

189506160 is an abundant number, since it is smaller than the sum of its proper divisors (461825664).

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

189506160 is a wasteful number, since it uses less digits than its factorization.

189506160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 189506160 is about 13766.1236373934. The cubic root of 189506160 is about 574.3911993696.

The spelling of 189506160 in words is "one hundred eighty-nine million, five hundred six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6121 6192 7740 10320 12242 15480 18363 24484 30605 30960 36726 48968 55089 61210 73452 91815 97936 110178 122420 146904 183630 220356 244840 263203 275445 293808 367260 440712 489680 526406 550890 734520 789609 881424 1052812 1101780 1316015 1469040 1579218 2105624 2203560 2368827 2632030 3158436 3948045 4211248 4407120 4737654 5264060 6316872 7896090 9475308 10528120 11844135 12633744 15792180 18950616 21056240 23688270 31584360 37901232 47376540 63168720 94753080 189506160